Exam 13: Exponential Functions and Logarithmic Functions

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Solve. -Solve. -

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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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Solve for x. -Solve for x. -

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Find the logarithm. -Find the logarithm. -

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Solve. -The amount of particulate matter left in solution during a filtering process is given by the equation Solve. -The amount of particulate matter left in solution during a filtering process is given by the equation   , where n is the number of filtering steps. Find the amounts left for n = 0 and n = 5. (Round to the nearest whole number.) , where n is the number of filtering steps. Find the amounts left for n = 0 and n = 5. (Round to the nearest whole number.)

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Solve the problem. -A size -10 dress in Country C is size -10 in Country D. A function that converts dress sizes in Country C to those in Country D is f(x) = x - 20. Find a formula for the inverse of the function described.

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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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Solve the problem. -The amount of particulate matter left in solution during a filtering process decreases by the equation P(n) = Solve the problem. -The amount of particulate matter left in solution during a filtering process decreases by the equation P(n) =   where n is the number of filtering steps. Find the amounts left for n = 0 and n = 5. (Round to The nearest whole number.) where n is the number of filtering steps. Find the amounts left for n = 0 and n = 5. (Round to The nearest whole number.)

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

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Solve. -Given logb 5 = 1.284 and logb 11 = 1.365, evaluate logb 6.

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Solve the equation. -4x = 16

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Solve. -Solve. -

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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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Solve the problem. -A size 12 dress in Country C is size 44 in Country D. A function that converts dress sizes in Country C to those in Country D is f(x) = x + 32. Find a formula for the inverse of the function described.

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Use composition to verify whether or not the inverse is correct. -Use composition to verify whether or not the inverse is correct. -

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

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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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Use composition to verify whether or not the inverse is correct. -Use composition to verify whether or not the inverse is correct. -

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Graph the function. -Graph the function. -

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Solve. -Solve. -

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