Exam 13: Exponential Functions and Logarithmic Functions

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Solve the equation. -Solve the equation. -

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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. -

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Graph the relation using solid circles and the inverse using open circles. -{(-6, 7), (-7, 6), (-9, -4), (9, 4)} Graph the relation using solid circles and the inverse using open circles. -{(-6, 7), (-7, 6), (-9, -4), (9, 4)}

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Graph. -Graph. -

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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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Using a calculator, find to the nearest ten-thousandth. -ln 112

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Solve the problem. When appropriate, round the solution to the nearest tenth. As needed, use the formula pH = Solve the problem. When appropriate, round the solution to the nearest tenth. As needed, use the formula pH =   -Find the pH if the   . -Find the pH if the Solve the problem. When appropriate, round the solution to the nearest tenth. As needed, use the formula pH =   -Find the pH if the   . .

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Find an equation of the inverse of the relation. -y = 2x - 7

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Solve. -Solve. -

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Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Explain how the graph of Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Explain how the graph of   could be used to graph the function g(x) = 1 + ln x. could be used to graph the function g(x) = 1 + ln x.

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Solve the problem. -An accountant tabulated a firm's profits for four recent years in the following table: Solve the problem. -An accountant tabulated a firm's profits for four recent years in the following table:   The accountant then fit both a linear graph and an exponential curve (seen below) to the data, in order to estimate future profits. Use the linear graph to estimate the profits in the year 2002.  The accountant then fit both a linear graph and an exponential curve (seen below) to the data, in order to estimate future profits. Use the linear graph to estimate the profits in the year 2002. Solve the problem. -An accountant tabulated a firm's profits for four recent years in the following table:   The accountant then fit both a linear graph and an exponential curve (seen below) to the data, in order to estimate future profits. Use the linear graph to estimate the profits in the year 2002.

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

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Solve. -Solve. -  = -3 = -3

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

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Graph the function. -Graph the function. -

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

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Solve for x. -Solve for x. -  = x = x

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Graph the function as a solid curve and its inverse as a dashed curve. -f(x) = Graph the function as a solid curve and its inverse as a dashed curve. -f(x) =    Graph the function as a solid curve and its inverse as a dashed curve. -f(x) =

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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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