Exam 5: Exponential-And-Logarithmic-Functions

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Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms.(Assume all variables are positive.) ​ Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms.(Assume all variables are positive.) ​   ​

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Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms.(Assume all variables are positive.) ​ Ln 9x ​

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Evaluate the function at the indicated value of x.Round your result to three decimal places. ​ Function Value Evaluate the function at the indicated value of x.Round your result to three decimal places. ​ Function Value     ​ Evaluate the function at the indicated value of x.Round your result to three decimal places. ​ Function Value     ​

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Solve the exponential equation algebraically.Approximate the result to three decimal places. ​ Solve the exponential equation algebraically.Approximate the result to three decimal places. ​   ​

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Rewrite the logarithmic equation Rewrite the logarithmic equation   in exponential form. in exponential form.

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Evaluate the function Evaluate the function   at   without using a calculator. at Evaluate the function   at   without using a calculator. without using a calculator.

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Use the One-to-One Property to solve the equation for x. ​ Use the One-to-One Property to solve the equation for x. ​   ​

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An initial investment of $5000 doubles in value in 6.3 years.Assuming continuous compounding, what was the interest rate? Round to the nearest tenth of a percent.

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A population growing at an annual rate r will triple in a time t given by the formula A population growing at an annual rate r will triple in a time t given by the formula   .If the growth rate remains constant and equals 9% per year, how long will it take the population of the town to triple? ​ .If the growth rate remains constant and equals 9% per year, how long will it take the population of the town to triple? ​

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Solve the exponential equation algebraically.Approximate the result to three decimal places. ​ Solve the exponential equation algebraically.Approximate the result to three decimal places. ​   ​

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Solve the logarithmic equation algebraically.Approximate the result to three decimal places. ​ Solve the logarithmic equation algebraically.Approximate the result to three decimal places. ​   ​

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Solve the exponential equation algebraically.Approximate the result to three decimal places. ​ Solve the exponential equation algebraically.Approximate the result to three decimal places. ​   ​

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Write the logarithmic equation in exponential form. ​ Write the logarithmic equation in exponential form. ​   ​

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Determine whether the given x-value is a solution (or an approximate solution) of the equation. ​ Determine whether the given x-value is a solution (or an approximate solution) of the equation. ​   ​

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Solve the exponential equation algebraically.Approximate the result to three decimal places. ​ Solve the exponential equation algebraically.Approximate the result to three decimal places. ​   ​

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Select the correct graph for the given function ​ Select the correct graph for the given function ​   ​

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Solve for x.Approximate the result to three decimal places. ​ Solve for x.Approximate the result to three decimal places. ​   ​

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Use the change-of-base formula to rewrite the logarithm as a ratio of logarithms.Then use a graphing utility to graph the ratio. ​ Use the change-of-base formula to rewrite the logarithm as a ratio of logarithms.Then use a graphing utility to graph the ratio. ​   ​

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Rewrite the logarithm as a ratio of common logarithms. ​ Log5 16 ​

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Evaluate the function at the indicated value of Evaluate the function at the indicated value of   . ​   ​ . ​ Evaluate the function at the indicated value of   . ​   ​

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