Exam 5: Exponential and Logarithmic Functions

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Solve the logarithmic equation exactly. Solve the logarithmic equation exactly.

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

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State the domain of the logarithm function f (x) = State the domain of the logarithm function f (x) =   (10 - x) in interval notation. (10 - x) in interval notation.

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If Alicia deposits $1,250 in a savings account that earns 5.4% interest per year compounded annually, how much money can she expect to be in the account in 3 years? Round your answer to two decimal places.

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Graph the logarithmic function. Graph the logarithmic function.

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Solve the exponential equation. Round your answer to two decimal places. Solve the exponential equation. Round your answer to two decimal places.

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Match the graph to the logarithmic function. Match the graph to the logarithmic function.

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If a seismologist records the energy of P waves as 4.1 × If a seismologist records the energy of P waves as 4.1 ×   joules and the energy of S waves as   what is the total energy? What would the combined effect be on the Richter scale? joules and the energy of S waves as If a seismologist records the energy of P waves as 4.1 ×   joules and the energy of S waves as   what is the total energy? What would the combined effect be on the Richter scale? what is the total energy? What would the combined effect be on the Richter scale?

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

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Solve the logarithmic equation. Round the answer to two decimal places if necessary. Solve the logarithmic equation. Round the answer to two decimal places if necessary.

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State the domain and range for the function. Express in interval notation. State the domain and range for the function. Express in interval notation.

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Find the y-intercept for the exponential function f (x) = Find the y-intercept for the exponential function f (x) =   - 8. - 8.

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Approximate the natural logarithm using a calculator. Round your answer to two decimal places. Ln 0.0084

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State the domain and range for the function. Express in interval notation. State the domain and range for the function. Express in interval notation.

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Find the y-intercept for the exponential function f (x) = Find the y-intercept for the exponential function f (x) =   + 6. + 6.

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Approximate the common logarithm using the calculator. Round your answer to two decimal places. Log 0.0101

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If Vanessa deposits $4,500 in a savings account that earns 3.25% interest per year compounded continuously, how much money should she expect to be in the account in 10 years?

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State the domain of the logarithm function f (x) = State the domain of the logarithm function f (x) =    State the domain of the logarithm function f (x) =

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Given f (x) = Given f (x) =   , evaluate f (1.8). Round your answer to two decimal places. , evaluate f (1.8). Round your answer to two decimal places.

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