Exam 11: Exponential Functions

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Write the expression as a single logarithm. Write the expression as a single logarithm.

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A painting is purchased as an investment for $200. If the painting s value doubles every 6 years, then its value is given by the function A painting is purchased as an investment for $200. If the painting s value doubles every 6 years, then its value is given by the function   where t is the number of years since it was purchased, and V ( t ) is its value (in dollars) at that time. How many years will it take for the painting to be worth $800? where t is the number of years since it was purchased, and V ( t ) is its value (in dollars) at that time. How many years will it take for the painting to be worth $800?

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For For   , choose the graph of the relation and its inverse. , choose the graph of the relation and its inverse.

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A painting is purchased as an investment for $200. If the painting s value doubles every 3 years, then its value is given by the function A painting is purchased as an investment for $200. If the painting s value doubles every 3 years, then its value is given by the function   where t is the number of years since it was purchased, and V ( t ) is its value (in dollars) at that time. How many years must pass before the painting is worth $3,200? __________ years where t is the number of years since it was purchased, and V ( t ) is its value (in dollars) at that time. How many years must pass before the painting is worth $3,200? __________ years

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For the following one-to-one function, find the equation of the inverse. For the following one-to-one function, find the equation of the inverse.

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Find the following logarithm to four decimal places, if necessary. Find the following logarithm to four decimal places, if necessary.

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Write the expression as a single logarithm. Write the expression as a single logarithm.

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Choose the answer that shows the equation in exponential form. Choose the answer that shows the equation in exponential form.

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Find x . Find x .

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Use properties of logarithms to expand the expression as much as possible. Use properties of logarithms to expand the expression as much as possible.

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Use properties of logarithms to expand the expression as much as possible. Use properties of logarithms to expand the expression as much as possible.

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Find x in the following equation. Find x in the following equation.

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For the following one-to-one function, find the equation of the inverse. For the following one-to-one function, find the equation of the inverse.

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For For   , choose the graph of the relation and its inverse. , choose the graph of the relation and its inverse.

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Write the equation in exponential form. Write the equation in exponential form.

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Simplify the following expression. Simplify the following expression.

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Find the following logarithm to four decimal places. Find the following logarithm to four decimal places.

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For the following one-to-one function, find the equation of the inverse. For the following one-to-one function, find the equation of the inverse.

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Find the following logarithm to four decimal places. Find the following logarithm to four decimal places.

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Evaluate the function using the tables given below. Evaluate the function using the tables given below.   Table 1 Table 2 x f ( x ) x g ( x ) - 8 6 - 6 4 4 - 6 - 4 6 6 - 4 6 - 8 8 7 7 8 Table 1 Table 2 x f ( x ) x g ( x ) - 8 6 - 6 4 4 - 6 - 4 6 6 - 4 6 - 8 8 7 7 8

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