Exam 11: Exponential Functions

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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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  where   is the concentration of the hydrogen ions in solution. A hair conditioner has a pH of 6. Find the concentration of hydrogen ions   in the conditioner. where   where   is the concentration of the hydrogen ions in solution. A hair conditioner has a pH of 6. Find the concentration of hydrogen ions   in the conditioner. is the concentration of the hydrogen ions in solution. A hair conditioner has a pH of 6. Find the concentration of hydrogen ions   where   is the concentration of the hydrogen ions in solution. A hair conditioner has a pH of 6. Find the concentration of hydrogen ions   in the conditioner. in the conditioner.

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Solve the equation for x . Solve the equation for 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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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 the following logarithm to four decimal places. Find the following logarithm to four decimal places.

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Determine if the following function is one-to-one. Determine if the following function is one-to-one.

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

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Write the equation in logarithmic form. Write the equation in logarithmic form.

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The annual rate of depreciation r on a car that is purchased for P dollars and is worth W dollars t years later can be found from the formula: The annual rate of depreciation r on a car that is purchased for P dollars and is worth W dollars t years later can be found from the formula:   Find the annual rate of depreciation on a car that is purchased for $5,000 and sold 4 years later for $2,500. Find the annual rate of depreciation on a car that is purchased for $5,000 and sold 4 years later for $2,500.

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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. How many years must pass before the printing press will be worth only $55,000? Please round your answer to the nearest month. __________ year(s) __________ month(s) 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. How many years must pass before the printing press will be worth only $55,000? Please round your answer to the nearest month. __________ year(s) __________ month(s)

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  where   is the concentration of the hydrogen ions in solution. Find the pH of a bottle of vinegar if the concentration of hydrogen ions is  where   where   is the concentration of the hydrogen ions in solution. Find the pH of a bottle of vinegar if the concentration of hydrogen ions is  is the concentration of the hydrogen ions in solution. Find the pH of a bottle of vinegar if the concentration of hydrogen ions is   where   is the concentration of the hydrogen ions in solution. Find the pH of a bottle of vinegar if the concentration of hydrogen ions is

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Find x in the following equation. Find x in the following equation.   Round the result to the nearest whole number. x = __________ Round the result to the nearest whole number. x = __________

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Simplify the following expression. Simplify the following expression.

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Solve the exponential equation. Round the answer to four decimal places, if necessary. Solve the exponential equation. Round the answer to four decimal places, if necessary.

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If If   then   Use these two functions to find   and  then If   then   Use these two functions to find   and  Use these two functions to find If   then   Use these two functions to find   and  and If   then   Use these two functions to find   and

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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. What is the value of the printing press after 4 years and 6 months? 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. What is the value of the printing press after 4 years and 6 months?

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Simplify. Simplify.

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How long will it take for $400 to double if it is invested at 5% annual interest compounded 12 times a year? Round your answer to one decimal place. __________ years

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

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