Exam 13: Exponential Functions and Logarithmic Functions

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

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

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Solve. -Given logb 4 = 1.079 and logb 12 = 1.934, evaluate logb 3.

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Solve for x. -Solve for x. -

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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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Find f(x) and g(x) such that h(x) = Find f(x) and g(x) such that h(x) =   -h(x) =   7 -h(x) = Find f(x) and g(x) such that h(x) =   -h(x) =   7 7

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Graph. -f(x) = Graph. -f(x) =   + 2  + 2 Graph. -f(x) =   + 2

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Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Explain the error in the following: Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Explain the error in the following:

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

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

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Solve. -How long will it take for prices in the economy to double at a 4% annual inflation rate? Use the exponential growth model Solve. -How long will it take for prices in the economy to double at a 4% annual inflation rate? Use the exponential growth model   (Round to the nearest year.) (Round to the nearest year.)

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Express as a sum of logarithms. -Express as a sum of logarithms. -

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Determine whether the function is one-to-one. -f(x) = Determine whether the function is one-to-one. -f(x) =   - 6  - 6

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Solve. -Suppose the consumption of electricity grows at 4.2% per year, compounded continuously. Find the number of years before the use of electricity has tripled. Round the answer to the nearest hundredth.

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

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Solve the equation. -Solve the equation. -  = 30 (Round to the nearest hundredth.) = 30 (Round to the nearest hundredth.)

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

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Graph. -f(x) = Graph. -f(x) =   - 3  - 3 Graph. -f(x) =   - 3

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Find the common logarithm to four decimal places. -log 36.05

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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   if the pH = 2.3. -Find the Solve the problem. When appropriate, round the solution to the nearest tenth. As needed, use the formula pH =   -Find the   if the pH = 2.3. if the pH = 2.3.

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