Exam 13: Exponential Functions and Logarithmic Functions

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Graph the function. -Graph the function. -

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

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Solve. -Solve. -

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Determine whether the function is one-to-one. -f(x) = Determine whether the function is one-to-one. -f(x) =   - 2  - 2

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Convert to a logarithmic equation. -Convert to a logarithmic equation. -  = 16 = 16

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Solve. -Let logb A = 2.572 and logb B = 0.262. Find logb Solve. -Let logb A = 2.572 and logb B = 0.262. Find logb   . .

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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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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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Express as a product. -Express as a product. -

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

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Find an equation of the inverse of the relation. -y = Find an equation of the inverse of the relation. -y =

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Solve the problem. -In a study by psychologists Bornstein and Bornstein, it was found that the average walking speed w, in feet per second, of a person living in a city of population P, in thousands, is given by the function w(P) = 0.37 ln P + 0.05. Find the walking speed of people in a city with a population of 341,322.

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Solve the equation. -Solve the equation. -  = 23 (Round to the nearest hundredth.) = 23 (Round to the nearest hundredth.)

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Express as a product. -Express as a product. -

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Determine whether the given function is one-to-one. If so, find a formula for the inverse. -f(x) = Determine whether the given function is one-to-one. If so, find a formula for the inverse. -f(x) =

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Express as a difference of logarithms. -Express as a difference of logarithms. -

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

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