Exam 11: Exponential Functions

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

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How long will it take for $700 to double if it is invested at 9% annual interest compounded twice a year? Round your answer to one decimal place. __________ years

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Use the change-of-base property to find the decimal approximation of the following logarithm. Round the answer to four decimal places, if necessary. Use the change-of-base property to find the decimal approximation of the following logarithm. Round the answer to four decimal places, if necessary.

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Find a decimal approximation of the following natural logarithm. ln 100,000

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

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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 4 - 4 1 1 - 4 - 1 4 4 - 1 4 - 8 8 5 5 8 Table 1 Table 2 x f ( x ) x g ( x ) - 8 4 - 4 1 1 - 4 - 1 4 4 - 1 4 - 8 8 5 5 8

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Find the magnitude M of an earthquake with a shock wave that measures T = 100 on a seismograph.

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Find x in the following equation. Find x in the following equation.   Round the result to four decimal places, if necessary. x = __________ Round the result to four decimal places, if necessary. x = __________

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The function The function   where V is value and t is time in years, can be used to find the value of a printing press during the first 7 years of use. After how many years will the printing press be worth only $45,000? where V is value and t is time in years, can be used to find the value of a printing press during the first 7 years of use. After how many years will the printing press be worth only $45,000?

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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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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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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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Use the functions defined in Tables 1 and 2 to answer the following questions. Table 1 Table 2 x f ( x ) x g ( x ) - 9 5 - 5 4 4 - 5 - 4 5 5 - 4 5 - 9 9 6 6 9 What are the domain and range of f ? What are the domain and range of g ? How are the domain and range of f related to the domain and range of g ?

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

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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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Use the properties of logarithms to expand the following expression. Use the properties of logarithms to expand the following expression.

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Solve the equation. Solve the equation.

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Use the change-of-base property to find the decimal approximation of the following logarithm. Round the answer to four decimal places, if necessary. Use the change-of-base property to find the decimal approximation of the following logarithm. Round the answer to four decimal places, if necessary.

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