Exam 5: Exponential and Logarithmic Functions

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Graph the logarithmic function using transformation techniques. Graph the logarithmic function using transformation techniques.

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Write the exponential equation in its equivalent logarithmic form. Write the exponential equation in its equivalent logarithmic form.

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B

Use the properties of logarithms to simplify the expression. Use the properties of logarithms to simplify the expression.

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C

Use the properties of logarithms to simplify the expression. Use the properties of logarithms to simplify the expression.

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Evaluate the logarithm exactly. Evaluate the logarithm exactly.

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Approximate the common logarithm using the calculator. Round your answer to two decimal places. Log 838

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If Diane deposits $16,713 in a savings account that earns 3.5% interest per year compounded continuously, how much money should she expect to be in the account after 13 years?

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Approximate the number Approximate the number   . Round your answer to two decimal places. . Round your answer to two decimal places.

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Given f (x) = Given f (x) =   , find f (3.81). Round your answer to two decimal places. , find f (3.81). Round your answer to two decimal places.

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Use the properties of logarithms to simplify the expression. Use the properties of logarithms to simplify the expression.

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Graph the logarithmic function. Graph the logarithmic function.     Graph the logarithmic function.

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If you put $34,100 in a savings account that pays 3.8% a year compounded continuously, how much will you have in the account in 11 years?

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Evaluate the logarithm using the change of base formula. Round your answer to two decimal places. Evaluate the logarithm using the change of base formula. Round your answer to two decimal places.

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For the exponential function f (x) = 6 - For the exponential function f (x) = 6 -   , state the y-intercept. Round your answer to two decimal places. , state the y-intercept. Round your answer to two decimal places.

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Solve the exponential equation exactly for x. Solve the exponential equation exactly for x.

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Approximate the natural logarithm using a calculator. Round your answer to two decimal places. Ln 33

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Approximate the number Approximate the number   . Round your answer to two decimal places. . Round your answer to two decimal places.

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A city experienced a major earthquake. The energy released measured A city experienced a major earthquake. The energy released measured   Calculate the magnitude of the earthquake using the Richter scale. Calculate the magnitude of the earthquake using the Richter scale.

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Solve the logarithmic equation. Solve the logarithmic equation.

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

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