Algebra for College Students (10th Edition)
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; Express 125 as in the given equation.If , and... more
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; Express 25 as in the given equation.Express ... more
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4 ; Express as in the given equation.If , and ... more
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; Express 16 as and 64 as in the given equation... more
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; Express 25 as in the given equation.The power ... more
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Substitute , , 0, 1 and 2 for in the given ... more
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Substitute , , 0, 1 and 2 for in the given ... more
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Substitute , , 0, 1 and 2 for in the given ... more
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1.889 ; Press the ON button to turn on the ... more
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The product law of exponents states that , where ... more
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The product law of exponents states that where ... more
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The expression is equivalent to where is a ... more
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The expression is equivalent to where is a ... more
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The power rule of exponents states that where is... more
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An exponential function is a mathematical function... more
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An exponential function is a mathematical function... more
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The value of becomes larger as the value of ... more
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Exponential functions are defined as , where , ... more
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Any number (except 0) raised to the power 0 is ... more
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; Express 64 as in the given equation.If and , ... more
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; Express 81 as in the given equation.If and , ... more
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; Express 27 as in the given equation.If and , ... more
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; Express 16 as in the given equation.If and , ... more
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; Express 128 as in the given equation.The power... more
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; Express 256 as in the given equation.The power... more
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; Express 243 as in the given equation.The ... more
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; Express 9 as in the given equation.If and , ... more
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; Express 36 as in the given equation.If and , ... more
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; Express 32 as in the given equation.If and , ... more
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; Express 64 as and 27 as in the given equation... more
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; Express 9 as and 4 as in the given equation.... more
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; Express 16 as and 64 as in the given equation... more
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; Express 4 as and 8 as in the given equation.... more
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; Express 27 as and 9 as in the given equation.... more
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; Express 32 as and 16 as in the given equation... more
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; Express 9 as and 81 as in the given equation.... more
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; Express 8 as and 16 as in the given equation.... more
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; Express 0.1 as a power of 10.If and , then if... more
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; Express 0.0001 as a power of 10.If and , then... more
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; Express 64 as in the given equation.The ... more
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; Express 32 as .The product property of ... more
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; Express 81 as a power of 3.The product property... more
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; Express 4, 8 and 16 as a power of 2. The power ... more
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; Express 4, 8 and 16 as a power of 2.The power ... more
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Substitute the values of as and 2 one by one in ... more
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Substitute the values of as and 2 one by one in ... more
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Substitute the values of as and 4 one by one in ... more
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Substitute the values of as and 4 one by one in ... more
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Substitute the values of as in the given ... more
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Substitute the values of as and 4 one by one in ... more
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Substitute the values of as and 3 one by one in ... more
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Substitute the values of as and 3 one by one in ... more
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Substitute the values of as and 3 one by one in ... more
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Substitute the values of as and 3 one by one in ... more
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Substitute the values of as and 3 one by one in ... more
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Substitute the values of as and 3 one by one in ... more
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Substitute the values of as ,, 0 and 2 separately... more
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Substitute the values of as ,, 0 and 2 separately... more
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Substitute the values of as ,, 0, 1 and 2 ... more
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Substitute the values of as , , 0, 1 and 3 ... more
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Substitute the values of as , , 0, 1 and 2 ... more
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Substitute the values of as , , 0, 1 and 2 ... more
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Substitute the values of as , , 0, 1 and 3 ... more
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Substitute the values of as , , 0, 1 and 2 ... more
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Express 8 as , 64 as .Use the power of a power ... more
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The value of does not exist if the value of is ... more
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Take some arbitrary values of , substitute them in... more
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The orange curve shows the graph of , purple curve... more
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The graph of is located 5 units right to the ... more
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The graph of is located 2 units up to the graph ... more
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The graph of is the reflection across -axis of ... more
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Press the ON button to turn on the calculator.... more
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; The compound interest formula is where is the... more
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, ; The exponential decay formula is , where is ... more
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3311 ; The law of exponential growth is given by ... more
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gm ; The law of exponential growth is given by ... more
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About 35 years ; The formula for accumulated money... more
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If a principal money that has been invested for ... more
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The semiannual compounding formula is given by , ... more
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The continuous compounding formula is given by , ... more
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A translation is a transformation that occurs when... more
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A translation is a transformation that occurs when... more
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When a point is reflected across the -axis, the -... more
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; The investment is done annually. Therefore, the... more
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; The investment is done annually. Therefore, the... more
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; The investment is done semiannually. Therefore... more
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; The investment is done semiannually. Therefore... more
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; The investment is done quarterly. Therefore, ... more
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; The investment is done quarterly. Therefore, ... more
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; The investment is done monthly. Therefore, the ... more
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; The investment is done monthly. Therefore, the ... more
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; The investment is done annually. Therefore, the... more
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; The investment is done semiannually. Therefore... more
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; The investment is done quarterly. Therefore, ... more
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; The investment is done monthly. Therefore, the ... more
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; The rate can be written as i.e., 0.07.... more
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; The rate can be written as i.e., 0.06.... more
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; The rate can be written as i.e., 0.08.... more
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; The rate can be written as i.e., 0.05.... more
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; The rate can be written as i.e., 0.07.... more
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; Substitute 5000 for , 20 for and 0.08 for as... more
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; Substitute 7500 for , 10 for and 0.065 for as... more
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; Substitute 10000 for , 25 for and 0.0425 for ... more
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; Substitute 15000 for , 10 for and 0.0575 for ... more
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; If a principal amount is invested at an annual... more
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. ; If a principal amount is invested at an ... more
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; The effective yield for the investment at ... more
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; The effective yield for the investment at ... more
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compounding monthly ; The effective yield for ... more
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compounding quarterly. ; The effective yield for... more
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625 milligrams ; 442 milligrams ; The half life ... more
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50 grams;37 grams ; The half life of a ... more
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354 grams ; The half life of a radioactive ... more
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2226;3320;7389 ; Substitute 2 for in the given ... more
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8244;22408;100428 ; Substitute 10 for in the ... more
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2000 ; Substitute 6640 for and 4 for in the ... more
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203 grams; 27 grams; 0.5 grams ; Substitute 5 for... more
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Substitute , , , 0, 1, and 2 separately for in ... more
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Substitute , , , 0, 1, and 2 separately for in ... more
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Substitute , , , 0, and 1 separately for in the ... more
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Substitute , , , 0, 1, and 2 separately for in ... more
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Substitute , , , 0, and 1 separately for in the ... more
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Substitute , , 0, 1, 2, and 3 separately for in ... more
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Simple interest over a certain period is the fixed... more
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Effective yield can be defined as a yearly rate of... more
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The formula to calculate the exponential decay of ... more
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Substitute some arbitrary values of such as... more
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Substitute some arbitrary values of such as , , 0... more
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Substitute some arbitrary values of such as , , 0... more
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Substitute some arbitrary values of such as , , 0... more
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Substitute the values 0.2, 0.4, 0.5,1, 2 and 3 for... more
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Yes, the graphs are consistent because the graph ... more
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The graphs of the functions and should be ... more
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The graphs of the functions , , and are the ... more
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The graph of the functions and will be more ... more
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The functions and are inverse functions of each ... more
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The functions and are inverse functions of each ... more
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; Substitute for in the given function and ... more
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; Substitute for in the given function and ... more
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The horizontal line test is a visual way to ... more
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The inverse of a function is denoted by the ... more
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The two functions and are said to be an inverse ... more
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The horizontal line test is a visual way to ... more
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A function is said to be a one-to-one function if ... more
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The two functions and are said to be an inverse ... more
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The two functions and are said to be an inverse ... more
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The two functions are said to be an inverse of ... more
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If be a function, and , be the points in the ... more
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A function which is always increasing or ... more
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The horizontal line test is a visual way to ... more
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The horizontal line test is a visual way to ... more
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The horizontal line test is a visual way to ... more
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The horizontal line test is a visual way to ... more
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The horizontal line test is a visual way to ... more
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The horizontal line test is a visual way to ... more
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A function is said to be a one-to-one if each ... more
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A function is said to be a one-to-one if each ... more
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A function is said to be a one-to-one if each ... more
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A function is said to be a one-to-one if each ... more
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A function is said to be a one-to-one if each ... more
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The absolute value of a real number is defined as... more
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If a function is one one then implies that , ... more
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If a function is one one then implies that , ... more
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Apply the law of composition of two functions to ... more
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Apply the law of composition of two functions to ... more
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Apply the law of composition of two functions to ... more
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Apply the law of composition of two functions to ... more
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Apply the law of composition of two functions to ... more
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Apply the law of composition of two functions to ... more
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Apply the law of composition of two functions to ... more
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Apply the law of composition of two functions to ... more
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For a one-to-one function with a domain of and a... more
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For a one-to-one function with a domain of and a... more
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For a one-to-one function with a domain of and a... more
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For a one-to-one function with a domain of and a... more
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For a one-to-one function with a domain of and a... more
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For a one-to-one function with a domain of and a... more
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For a one-to-one function with a domain of and a... more
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For a one-to-one function with a domain of and a... more
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For a one-to-one function with a domain of and a... more
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For a one-to-one function with a domain of and a... more
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Increasing: ;Decreasing: ; Consider a function , ... more
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Increasing: ; Consider a function , with as the ... more
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Decreasing: ; Consider a function , with as the ... more
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Increasing: Decreasing: ; Consider a function , ... more
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Increasing: Decreasing: ; Consider a function , ... more
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Increasing: Decreasing: ; Consider a function , ... more
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Increasing:Decreasing: ; Consider a function , ... more
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Increasing: Decreasing: ; Consider a function , ... more
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Replace by in the given equation, i.e., .... more
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Obtain the inverse of the linear function of the ... more
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Yes. Both the given functions are inverses of each... more
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The numbers 2 and are additive inverses of each ... more
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; Consider the given expression as .The ... more
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; Consider the given expression as .Rewrite as .... more
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; The equivalent exponential equation of the ... more
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; The equivalent exponential equation of the ... more
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2.2618 ; The logarithmic product property states ... more
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4.2288 ; The logarithmic product property states ... more
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0.6826 ; The logarithmic division property states ... more
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0.8632 ; The logarithmic division property states ... more
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0.80245 ; The logarithm power property states that... more
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2.761 ; The logarithm power property states that... more
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; The logarithmic product property states that ... more
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; The logarithmic division property states that ... more
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; The logarithmic product property states that ... more
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The logarithm exponential property states that .... more
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The logarithm property states that and .The given... more
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If is any positive real number, then the unique ... more
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The logarithmic power property states that .Use ... more
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The logarithm product property states that , where... more
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The logarithmic property states that and for ... more
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The logarithm is defined only for positive values.... more
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The logarithm product property states that , where... more
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; The relationship between exponential and ... more
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; The relationship between exponential and ... more
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; The relationship between exponential and ... more
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; The relationship between exponential and ... more
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; The relationship between exponential and ... more
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; The relationship between exponential and ... more
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; The relationship between exponential and ... more
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; The relationship between exponential and ... more
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; The relationship between exponential and ... more
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; The relationship between exponentiatial and ... more
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; The relationship between exponential and ... more
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; The relationship between exponential and ... more
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; The relationship between exponential and ... more
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; The relationship between exponentiation and ... more
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; The relationship between exponential and ... more
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; The relationship between exponential and ... more
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; The relationship between exponential and ... more
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; The relationship between exponential and ... more
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; The relationship between exponential and ... more
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; The relationship between exponential and ... more
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4 ; The relationship between exponential and ... more
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8 ; The relationship between exponentiation and ... more
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4 ; The relationship between exponential and ... more
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9 ; The relationship between exponentiation and ... more
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3 ; The relationship between exponentiation and ... more
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4 ; The relationship between exponentiation and ... more
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; The relationship between exponentiation and ... more
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; Consider as the value of the given expression.... more
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0 ; Consider as the value of the given expression... more
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1 ; Consider as the value of the given expression... more
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; Consider as the value of the given expression.... more
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; Consider as the value of the given expression.... more
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5 ; Consider as the value of the given expression... more
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14 ; Consider as the value of the given ... more
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; Consider as the value of the given expression.... more
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; Consider as the value of the given expression.... more
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1 ; Consider as the value of the expression .... more
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1 ; Consider as the value of the expression .... more
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0 ; Consider as the value of the given expression... more
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0 ; Consider as the value of the given expression... more
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; A logarithmic expression of the form is ... more
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; A logarithmic expression of the form is ... more
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; A logarithmic expression of the form is ... more
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; A logarithmic expression of the form is ... more
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; A logarithmic expression of the form is ... more
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; A logarithmic expression of the form is ... more
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; A logarithmic expression of the form is ... more
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; A logarithmic expression of the form is ... more
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; A logarithmic expression of the form is ... more
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; A logarithmic expression of the form is ... more
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5.1293 ; Rewrite the given expression as .Use the ... more
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0.4855 ; Use the property that to expand the ... more
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6.9657 ; Rewrite the given expression as .Use the ... more
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5.6148 ; Rewrite the given expression as .Use the ... more
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1.4073 ; Rewrite the given expression as .Use the ... more
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0.774 ; Rewrite the given expression as .Use the ... more
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7.4512 ; Rewrite the given expression as .Use the ... more
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5.8074 ; Write 56 as the product of 7 and 8.The ... more
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6.3219 ; Write 80 as the product of 5 and 16.The ... more
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1.9271 ; Write 55 as the product of 5 and 11.The ... more
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; The Logarithm quotient rule states that the ... more
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1.548 ; Write 25 as in the given expression.The ... more
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0.5766 ; Write as in the given expression to ... more
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0.516 ; The logarithm power rule states that the ... more
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2.1531 ; Write 88 as the product of 8 and 11.The ... more
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2.7740 ; Write 320 as the product of 5 and 64.The ... more
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0.3949 ; The logarithm quotient rule states that ... more
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0.7582 ; The logarithm quotient rule states that ... more
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; The logarithm product rule states that the ... more
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; The logarithm product rule states that the ... more
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; The logarithm quotient rule states that the ... more
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; The logarithm quotient rule states that the ... more
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; The logarithm product rule states that the ... more
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; The logarithm product rule states that the ... more
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; The logarithm quotient rule states that the ... more
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; The logarithm product rule states that the ... more
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; Write as to convert radical into rational ... more
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; Write as to convert radical into rational ... more
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; The logarithm product rule states that the ... more
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; Write as to convert radical into rational ... more
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; The logarithm power rule states that the times... more
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; The logarithm product rule states that the the ... more
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; Simplify the given expression and rearrange the... more
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; Take common from the expressions and .The ... more
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; The logarithm power rule states that the times... more
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; The logarithm power rule states that the times... more
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; The Logarithm power rule states that the times... more
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; Use the logarithmic property .Substitute 2 for... more
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; Use the logarithmic property, to simplify the ... more
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; Use the logarithmic property, to simplify the ... more
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; To add the first two terms use the logarithmic ... more
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; To add the first two terms use the logarithmic ... more
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; To add the first two terms use the logarithmic ... more
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; To add the first two terms use the logarithmic ... more
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; To add the first two terms use the logarithmic ... more
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; Rearrange the given equation it means shift the... more
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1.667 ; To add the first two terms use the ... more
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0.71428 ; To add the first two terms use the ... more
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2.375 ; To subtract the first two terms use the ... more
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38 ; Rearrange the given equation it means shift ... more
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9 ; Rearrange the given equation it means shift ... more
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; To add the first two terms use the logarithmic ... more
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; To subtract the first two terms use the ... more
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; Rearrange the given equation it means shift the... more
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; To add the first two terms use the logarithmic ... more
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; To add the first two terms use the logarithmic ... more
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Consider some values for in which we can easily ... more
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0.8597 ; Use the calculator to determine the value... more
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0.3117 ; Use the calculator to determine the value... more
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1.7179 ; Use the calculator to determine the value... more
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3.50705 ; Use the calculator to determine the ... more
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4.15195 ; Use the calculator to determine the ... more
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; Use the calculator to determine the value. ; more
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; Use the calculator to determine the value. ; more
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; Use the calculator to determine the value. ; more
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; Use the calculator to determine the value. ; more
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; Use the calculator to determine the value. ; more
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79.543 ; The definition of the logarithmic ... more
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3.56205 ; The definition of the logarithmic ... more
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0.04844 ; The definition of the logarithmic ... more
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0.71581 ; The definition of the logarithmic ... more
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0.00642 ; The definition of the logarithmic ... more
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0.00222 ; The definition of the logarithmic ... more
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1.6094 ; Press the ON button to turn on the ... more
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2.8904 ; Press the ON button to turn on the ... more
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3.4843 ; Press the ON button to turn on the ... more
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4.3758 ; Press the ON button to turn on the ... more
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6.0638 ; Press the ON button to turn on the ... more
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5.9184 ; Press the ON button to turn on the ... more
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; Press the ON button to turn on the graphing ... more
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; Press the ON button to turn on the graphing ... more
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; Press the ON button to turn on the graphing ... more
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; Press the ON button to turn on the graphing ... more
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1.6034 ; The definition of the logarithmic ... more
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2.5633 ; The definition of the logarithmic ... more
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3.1346 ; The definition of the logarithmic ... more
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15.830 ; The definition of the logarithmic ... more
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108.56 ; The definition of the logarithmic ... more
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20.613 ; The definition of the logarithmic ... more
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0.48268 ; The definition of the logarithmic ... more
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0.19699 ; The definition of the logarithmic ... more
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0.03599 ; The definition of the logarithmic ... more
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0.09306 ; The definition of the logarithmic ... more
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Substitute 0, 1 , 2 , 3 and 4 for in the given ... more
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Substitute , , 0, 1 and 2 for in the given ... more
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Substitute , 0, 1 and 2 for in the given ... more
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Substitute , 0, 1 and 2 for in the given ... more
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Substitute 1, 2, 4 , 8 and 16 for in to obtain ... more
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Substitute 1, 2, 4 , 8 and 16 for in to obtain ... more
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Substitute 1, 2, 4 , 8 and 16 for in to obtain ... more
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Substitute 1, 2, 4 , 8 and 16 for in to obtain ... more
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Substitute 1, 2, 4 , 8 and 16 for in to obtain ... more
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Substitute 1, 2, 4 , 8 and 16 for in to obtain ... more
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Substitute 1, 2, 4 , 8 and 16 for in to obtain ... more
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1.77 ; Press the ON button on the graphing ... more
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0.36 ; Press the ON button on the graphing ... more
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1.06 ; Press the ON button on the graphing ... more
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0.73 ; Press the ON button on the graphing ... more
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27.47 ; Press the ON button on the graphing ... more
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23.10 ; Press the ON button on the graphing ... more
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7.00 ; Press the ON button on the graphing ... more
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7.93 ; Press the ON button on the graphing ... more
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The given logarithmic value can be written in the ... more
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Use the graphing calculator to obtain the graph of... more
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Use the graphing calculator to obtain the graph of... more
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The other three functions on the same set of axes ... more
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The graph of the function is the graph of which ... more
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1.543 ; Take the natural logarithm on both sides ... more
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3.778 ; Take the natural logarithm on both sides ... more
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1.845 ; Take the natural logarithm on both sides ... more
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25 ; The product rule of logarithm states that the... more
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8 ; The product rule of logarithm states that , ... more
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; The product rule of logarithm states that , ... more
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23.133 years approximately ; The compound interest... more
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12 hours approximately ; Substitute 5000 for , ... more
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2,00,00,000 ; The Richter number is given by , ... more
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4 ; Consider two earthquakes with a Richter number... more
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1.5646 ; Rewrite the number 21 in the given ... more
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; Subtract both sides of the given equation by 2.... more
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The logarithmic function , defined for all ... more
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The expression but . Therefore, does not imply ... more
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The given formula represents the exponential ... more
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The higher the value of , the faster is the ... more
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The Richter number is given by the formula where... more
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The change of base formula for logarithms states ... more
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The change of base formula for logarithms states ... more
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Consider the logarithmic equation .The exponent ... more
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A solution to the given must satisfy it.But the ... more
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The quotient property of logarithms states that ... more
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; The definition of a logarithm states that if ... more
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; The definition of a logarithm states that if ... more
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; The definition of a logarithm states that if ... more
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2.6826 ; Divide the given equation by .The ... more
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5.43 ; Subtract 7 from both sides of the obtained ... more
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3.13 ; Add 6 to both sides of the obtained ... more
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; The definition of a logarithm states that if ... more
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1.81 ; The definition of a logarithm states that ... more
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0.12 ; The definition of a logarithm states that ... more
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1.41 ; Divide both sides of the given equation by ... more
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3.30 ; The definition of natural logarithm states ... more
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4.45 ; The definition of natural logarithm states ... more
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4.57 ; The definition of natural logarithm states ... more
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3.10 ; The definition of natural logarithm states ... more
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1.79 ; Add 1 to both sides of the given equation.... more
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1.82 ; Divide both sides of the obtained equation ... more
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7.83 ; Apply the natural logarithmic function on ... more
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2.42 ; Apply the natural logarithmic function on ... more
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2.51 ; Apply the natural logarithmic function on ... more
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; The product property of logarithms states that... more
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; The product property of logarithms states that... more
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; Subtract from both sides of the given equation... more
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3.625 ; The quotient property of logarithms states... more
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; Add to both sides of the given expression.The ... more
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; Add to both sides of the given equation.The ... more
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; The quotient property of logarithms states that... more
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; The quotient property of logarithms states that... more
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8 ; Subtract from both sides of the given ... more
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6 ; The quotient property of logarithms states ... more
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; The exponent property of logarithms states that... more
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; The exponent property of logarithms states that... more
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5.322 ; The change of base formula for logarithms ... more
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6.539 ; The change of base formula for logarithms ... more
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2.524 ; The change of base formula for logarithms ... more
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3.287 ; The change of base formula for logarithms ... more
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0.339 ; The change of base formula for logarithms ... more
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0.839 ; The change of base formula for logarithms ... more
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; Consider the given expression as equal to .... more
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; Consider the given expression as equal to .... more
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3.194 ; Consider the given expression as equal to... more
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3.184 ; Consider the given expression as equal to... more
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4.8 years ; The formula to calculate the ... more
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11.7 years ; The formula to calculate the ... more
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17.3 years ; The formula for the accumulated value... more
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22 years ; The formula for the accumulated value ... more
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; The formula for the accumulated value is , ... more
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; The formula for the accumulated value is , ... more
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6.8 years ; Substitute 4000 for and 400 for in ... more
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6.6 years ; The formula for price prediction is , ... more
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6100 feet ; Substitute 11.53 for in the given ... more
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1.54 hours ; Substitute 1250 for and 2500 for in... more
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3.5 hours ; Substitute 2000 for and 500 for in ... more
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34.7 years ; Substitute 100000 for and 50000 for... more
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7 ; The formula for the Richter number is , where... more
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200 million ; The formula for the Richter number ... more
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8 times ; The formula for the Richter number is , ... more
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501 times ; The formula for the Richter number is... more
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Consider the given expression as and then change ... more
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Richter number compares the intensity of ... more
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; Use the change of base formula to compare the ... more
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Substitute for in the mentioned property and ... more
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; Multiply both sides of the given equation by 2.... more
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; Let be equal to .Take inverse on both sides of... more
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; Let be equal to .Take inverse on both sides of... more
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Use the graphing calculator to graph the curves ... more
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The change of base formula states that , where ... more
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The change of base formula states that , where ... more
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The graph will compress vertically as the value of... more
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The graph of will be 4 units left to the graph of... more
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The solution of the given equation is the ... more
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; Rewrite each side of the given equation as a ... more
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Substitute the values of as , , 0 and 1 in the ... more
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50.62 ; The formula for price prediction is , ... more
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; The formula to calculate the accumulated money ... more
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; The formula to calculate the amount of ... more
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; Substitute 1000 for and 100 for in the given ... more
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; The formula to calculate the accumulated money... more
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The horizontal line test determines if the graph ... more
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The domain and range are all real numbers for ... more
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; Interchange the components of each order pair ... more
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; Consider the given function as .Interchange ... more
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Increasing on Decreasing on ; A function with ... more
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; Consider the given expression as equal to .... more
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2.1461 ; Use the graphing calculator to obtain the... more
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5.4638 ; Use the graphing calculator to obtain the... more
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3.19 ; The change of base formula states that , ... more
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Substitute for in the given expression.The ... more
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; The quotient rule for logarithms states that ... more
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; The product rule for logarithms states that , ... more
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; The quotient rule for natural logarithms states... more
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; Apply common logarithm on both sides of the ... more
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; The formula to calculate the Richter number is... more
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32 ; The property for the number with rational ... more
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; The property for the number with rational ... more
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81 ; The property for the number with rational ... more
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3 ; The change of base formula states that where... more
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; The quotient rule for logarithms states that ... more
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; The power rule for logarithms states that ... more
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; The quotient rule for logarithms states that , ... more
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; Substitute for in the given expression.The ... more
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1 ; The base of the logarithm in the given ... more
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12 ; The logarithmic property states that for any... more
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5 ; The product rule for logarithms states that , ... more
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; The property of logarithm states that the ... more
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; Express both the terms and 128 in powers of 2.... more
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3.40 ; The property of logarithm states the ... more
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8 ; The property of logarithm states the ... more
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; Express the term in the left hand side of the ... more
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; Divide both sides of the given equation by 2.... more
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; Apply natural logarithm on both sides of the ... more
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; The quotient rule for natural logarithms states... more
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20 ; The product rule for common logarithms states... more
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; The property of logarithm states the expression... more
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2 ; The quotient rule for common logarithms states... more
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; Subtract from both sides of the given equation... more
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0 ; Express both the terms and in powers of 2.... more
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0.3680 ; The quotient rule for logarithms states ... more
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1.3222 ; Substitute for 21 in the given ... more
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1.4313 ; Substitute for 27 in the given ... more
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0.5634 ; The power rule for logarithms states that... more
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0.631 ; The change of base formula states that , ... more
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3.789 ; The change of base formula states that , ... more
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; The change of base formula states that , where... more
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Substitute , , 0, 1 and 2 for successively in ... more
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Substitute , , 0, 1 and 2 for successively in ... more
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Substitute 3.1, 4, 5, 6 and 7 for successively in... more
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Substitute 0.1, 1, 2, 3 and 4 for successively ... more
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; Substitute 7500 for , for , 4 for and 10 for... more
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; Substitute 1250 for , for , 12 for and 15 for... more
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; Substitute 2500 for , for , 2 for and 20 for... more
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Substitute for in the given equation.Interchange... more
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Substitute for in the given equation.Interchange... more
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Substitute for in the given equation.Interchange... more
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Substitute for in the given equation.Interchange... more
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Increasing ; A function is said to be increasing ... more
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; The principal amount is given to be .The rate ... more
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; The principal amount is given to be .The rate ... more
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; The principal amount is given to be .The rate ... more
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61,070; 64,793; 74,591 ; Substitute 50,000 for ... more
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; Substitute 2000 for and 500 for in the given... more
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; The initial quantity of the radioactive ... more
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8.1 ; The intensity of an earthquake is .The ... more
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; The power rule of logarithm states that , where... more
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1 ; Rewrite the term 4 as .The power rule of ... more
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1 ; The power rule of logarithm states that , ... more
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; The given expression is equivalent to .Simplify... more
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; Rewrite the term as the cube of .The ... more
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; Rewrite the term as the cube of and 9 as a ... more
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; Write 128 as in the given equation.If and , ... more
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; Substitute for in the given equation to ... more
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5.17 ; Apply the natural logarithm on both the ... more
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4.0069 ; Use the change in base formula, , where... more
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; The formula to calculate the total amount ... more
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; The formula to calculate the amount of the ... more
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; Substitute for in the given expression to ... more
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; Substitute for and 4 for in the given ... more
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; Substitute 4 for in the given expression to ... more
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56 ; Substitute 16 for and and 16 for in the ... more
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; Substitute 3 for and in the given expression ... more
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; Collect the like terms together in the given ... more
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; The FOIL method to multiply two binomials is ... more
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; Multiply each term in the binomial expression ... more
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; Simplify the second term in the given ... more
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; The quotient of two fractions is expressed as... more
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; The least common denominator of the fractions ... more
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; The least common denominator of the fractions ... more
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; The least common denominator of the fractions ... more
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; Use the long division method to divide the ... more
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; The least common denominator of the fractions ... more
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; The least common denominator of the fractions ... more
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; The least common denominator of the fractions ... more
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; The quotient of two fractions is expressed as... more
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; Split the middle term of the expressions into ... more
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; Factor out 2 from the given expression to write... more
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; Multiply the coefficient of term, i.e., 4 and ... more
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; Factor out from the given expression to obtain... more
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; Factor out from the expression and 3 from the... more
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; Multiply the coefficient of term, i.e., and ... more
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; Use the power of a quotient property, i.e., , ... more
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4 ; Use the property, to rewrite the fraction in ... more
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; Use the property, , where and are real ... more
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; Rewrite the term within the radical as a square... more
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; Write 27 as a cube of 3.Use the property, , ... more
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; Use the property, , where is a real number and... more
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; Use the power of a quotient property, i.e., , ... more
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72 ; Use the property, , where is a non-zero real... more
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6 ; Equate the given logarithmic expression to to... more
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; Equate the given logarithmic expression to to ... more
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; Group all the like terms together in the given ... more
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; Group all the like terms together in the given ... more
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; Group all the like terms in the given ... more
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; Express the number inside the square-root as ... more
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; Express the number inside the square-root as ... more
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; The quotient rule of radicals states that ... more
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; Write 6 as and 8 as .The product rule of ... more
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; Write 56 as .The product rule of radical states... more
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; Write 4 as .Multiply the numerator and ... more
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; Write 52 as , as and as .The product rule of... more
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; The quotient rule of radicals states that ... more
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; Write 24 as and 54 as . The product rule of ... more
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; Write the numbers 8, 18 and 50 as the product ... more
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; Write 24 and 81 as the product of prime factors... more
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; Multiply the numerator and denominator by ... more
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; Multiply the numerator and denominator by ... more
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; Write 0.00016 as , 300 as , 0.028 as and 0.... more
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300 ; Write 0.00072 as and 0.0000024 as The ... more
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0.0003 ; Write 0.00000009 as .Write 9 as in the ... more
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; The FOIL method states that , where and are ... more
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; The FOIL method states that , where and are ... more
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; Multiply the numerator and denominator of the ... more
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; Multiply the numerator and denominator of the ... more
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; The slope of the line passing through the ... more
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; The slope intercept form of a line is , where ... more
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; The formula to evaluate the distance between ... more
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; The equation of the straight line passing ... more
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; The slope-intercept form of the equation of a ... more
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; The two point form of a straight line passing ... more
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; The slope-intercept form of the equation of a ... more
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; The equation of a line parallel to -axis is , ... more
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Substitute 0, , , and for one by one in the ... more
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Substitute 0, ,1, , and 2 for one by one in the ... more
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Substitute 0, 1,2, , and 4 for one by one in the ... more
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Substitute 0, ,3, and 8 for one by one in the ... more
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Substitute 0, , 3 and 8 for one by one in the ... more
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Substitute 0, 1, 2, 3, and 4 for one by one in ... more
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Substitute 0, 1, 2 and 3 for one by one in the ... more
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Substitute 2.039, 3, 4 and 6 for one by one in ... more
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Substitute 0, 1, , , ,, and 2 for one by one in ... more
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Substitute 0,,, 2,, and for one by one in the ... more
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; Let be a one-to-one function with a domain of... more
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; Let be a one-to-one function with a domain of... more
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; If varies directly as then the equation of ... more
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; If is inversely proportional to then it ... more
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; The distributive property states that , where... more
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; Multiply both sides of the equation by 9 to ... more
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; The distributive property states that , where... more
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; For and an algebraic expression , is ... more
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; Subtract from both sides of the given equation... more
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; Factor out from the expression to factorize ... more
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; In the quadratic equation , the middle term ... more
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; Factor out from the left hand side of the ... more
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; Consider as and therefore is .Substitute ... more
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; The FOIL method states that the first terms of ... more
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; Simplify the given equation to eliminate the ... more
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; In the quadratic expression , the middle term ... more
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; Add on both sides of the given equation to ... more
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; Simplify the given equation.Add on both sides ... more
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; The square of the difference of the binomial ... more
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; The square of the sum of the binomial states ... more
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; The standard form of a quadratic equation is .... more
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; The standard form of a quadratic equation is .... more
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; The least common denominator of the given ... more
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; In the expression , the middle term ... more
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; The quadratic formula states that the solutions... more
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; Factor the given equation by grouping the terms... more
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; Factor the given equation by grouping the terms... more
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; Take logarithm with base 10 on both sides of ... more
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; Use the property of logarithm which states that... more
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; Use the addition property of logarithms with ... more
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; The quotient property of logarithms states that... more
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; Write 27 as and 9 as .The power rule of an ... more
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; The distributive property of multiplication ... more
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; The distributive property of multiplication ... more
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; The absolute values inequality is defined as ... more
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; The absolute value inequality is defined as , ... more
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. ; The denominators in both sides of the given ... more
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; locate the values for which equals to zero.The... more
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. ; Consider the function .The critical values of ... more
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; Simplify the given equality. Subtract 24 from ... more
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; Consider the function .The critical values of ... more
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; Subtract 4 on both sides of the inequality.Take... more
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17, 19 and 21 ; Let the three odd consecutive ... more
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Nickel: 14, Dime: 20, Quarter: 29 ; Total number ... more
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, ; The sum of two supplementary angles is .Let ... more
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600 ; Cost price of the ring is 300.The formula ... more
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at , at ; Consider the amount invested at is ... more
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66 miles per hour, 76 miles per hour ; The ... more
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69 or less ; Consider as the shoot on day four.... more
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, 0 or 3 ; Consider as the number.It is given ... more
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1 inch ; Consider as the width of the strip.... more
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and ; Consider as the money received by the ... more
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3 hours ; Consider the total amount of the work as... more
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; Express 27 and 9 as powers of 3.The product ... more
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Consider the function .The graphs of a function ... more
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4.79181 ; A logarithmic expression of the form is... more
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The logarithmic value of the at is not defined ... more
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The logarithmic function of the should not have ... more
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Draw the graph of .Consider the points ,, and to ... more
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The base for natural log is , therefore the base ... more
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Since the value of the logarithmic function with ... more
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3.32 ; Apply the natural logarithmic function on ... more
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Rewrite each side of the first given equation as a... more
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The mentioned property states that , where are ... more
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1.585 ; The change of base formula states that , ... more