Exam 13: Exponential Functions and Logarithmic Functions

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Solve. -Given Solve. -Given   = 0.3010 and   = 0.4771, evaluate   . = 0.3010 and Solve. -Given   = 0.3010 and   = 0.4771, evaluate   . = 0.4771, evaluate Solve. -Given   = 0.3010 and   = 0.4771, evaluate   . .

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Solve the equation. -Solve the equation. -  = 18 (Round to the nearest hundredth.) = 18 (Round to the nearest hundredth.)

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Use a calculator and the change-of-base formula to find the logarithm to four decimal places. -Use a calculator and the change-of-base formula to find the logarithm to four decimal places. -

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Solve the equation. -Solve the equation. -  = 8 (Round to the nearest thousandth.) = 8 (Round to the nearest thousandth.)

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Find f(x) and g(x) such that h(x) = Find f(x) and g(x) such that h(x) =   -h(x) =  -h(x) = Find f(x) and g(x) such that h(x) =   -h(x) =

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Express as a single logarithm. -Express as a single logarithm. -

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Solve. -Let logb A = 1.602 and logb B = 0.125. Find logb AB.

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Using a calculator, find to the nearest ten-thousandth. -ln 83,700,000

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Solve the problem. -Use the formula Solve the problem. -Use the formula   , where the loudness of a sound in decibels is determined by I, the number of   produced by the soundwave, and I   A certain noise produces   of power. What is the decibel level of this noise? Round to the nearest decibel. , where the loudness of a sound in decibels is determined by I, the number of Solve the problem. -Use the formula   , where the loudness of a sound in decibels is determined by I, the number of   produced by the soundwave, and I   A certain noise produces   of power. What is the decibel level of this noise? Round to the nearest decibel. produced by the soundwave, and I Solve the problem. -Use the formula   , where the loudness of a sound in decibels is determined by I, the number of   produced by the soundwave, and I   A certain noise produces   of power. What is the decibel level of this noise? Round to the nearest decibel. A certain noise produces Solve the problem. -Use the formula   , where the loudness of a sound in decibels is determined by I, the number of   produced by the soundwave, and I   A certain noise produces   of power. What is the decibel level of this noise? Round to the nearest decibel. of power. What is the decibel level of this noise? Round to the nearest decibel.

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Using a calculator, find to the nearest ten-thousandth. -Using a calculator, find to the nearest ten-thousandth. -

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Express as a single logarithm. -Express as a single logarithm. -

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Graph. -f(x) = Graph. -f(x) =    Graph. -f(x) =

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Solve. -The population of a small country increases according to the function B = 2,000,000e0.04t, where t is measured in years. How many people will the country have after 10 years?

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Express as a single logarithm. -Express as a single logarithm. -

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Convert to an exponential equation. -Convert to an exponential equation. -

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Using a calculator, find to the nearest ten-thousandth. -Using a calculator, find to the nearest ten-thousandth. -

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Solve. -Given Solve. -Given   = 0.3010 and   = 0.4771, evaluate   72 . = 0.3010 and Solve. -Given   = 0.3010 and   = 0.4771, evaluate   72 . = 0.4771, evaluate Solve. -Given   = 0.3010 and   = 0.4771, evaluate   72 . 72 .

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Solve for x. -Solve for x. -

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Using a calculator, find to the nearest ten-thousandth. -Using a calculator, find to the nearest ten-thousandth. -

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Express in terms of logarithms of a single variable or a number. -Express in terms of logarithms of a single variable or a number. -

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