Exam 11: Exponential Functions

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How long will it take for $400 to double if it is invested at 7% annual interest compounded twice a year?

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Previously we indicated that the pH of a solution is defined in terms of logarithms as Previously we indicated that the pH of a solution is defined in terms of logarithms as   where   is the concentration of the hydrogen ion in that solution. Find the concentration of hydrogen ions in a glass of wine if the pH is 4.95.   __________ where Previously we indicated that the pH of a solution is defined in terms of logarithms as   where   is the concentration of the hydrogen ion in that solution. Find the concentration of hydrogen ions in a glass of wine if the pH is 4.95.   __________ is the concentration of the hydrogen ion in that solution. Find the concentration of hydrogen ions in a glass of wine if the pH is 4.95. Previously we indicated that the pH of a solution is defined in terms of logarithms as   where   is the concentration of the hydrogen ion in that solution. Find the concentration of hydrogen ions in a glass of wine if the pH is 4.95.   __________ __________

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Find a decimal approximation of the following natural logarithm. Round your answer to four decimal places, if necessary. ln 3,440

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Find x in the following equation. Find x in the following equation.   Round your answer to the nearest integer. Round your answer to the nearest integer.

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Simplify. Simplify.

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Simplify. Simplify.

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Simplify. Simplify.

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Simplify. Simplify.

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Solve the exponential equation. Round your answer to four decimal places, if necessary. Solve the exponential equation. Round your answer to four decimal places, if necessary.   x = __________ x = __________

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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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How long does it take for an amount of money P to double itself if it is invested at 6% interest compounded 4 times a year?

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Let Let   and   evaluate  and Let   and   evaluate  evaluate Let   and   evaluate

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How long does it take for an amount of money P to double itself if it is invested at 9% interest compounded 4 times a year? Round your answer to two decimal places. __________ years

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Simplify the following expression. Simplify the following expression.

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

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

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Let Let   Evaluate   .   = __________ Evaluate Let   Evaluate   .   = __________ . Let   Evaluate   .   = __________ = __________

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

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