Exam 6: Logarithmic Links: Logarithmic and Exponential Functions

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Solve the equation for x. Solve the equation for x.     Round your answer to 2 decimal places. Round your answer to 2 decimal places.

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44. 70

Upon her retirement, Mary begins to receive money from a retirement account. The function, Upon her retirement, Mary begins to receive money from a retirement account. The function,   , gives the money remaining, M, in the account t years after her retirement. How many years until Mary has received half of the money from the account? Round your answer to the nearest year. , gives the money remaining, M, in the account t years after her retirement. How many years until Mary has received half of the money from the account? Round your answer to the nearest year.

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7 years

Graph the function Graph the function   over the interval      over the interval Graph the function   over the interval      Graph the function   over the interval

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The function, The function,   , gives the value, V, of an investment t years after the initial investment. How many years until the value of the investment doubles? Round your answer to the nearest year. , gives the value, V, of an investment t years after the initial investment. How many years until the value of the investment doubles? Round your answer to the nearest year.

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Expand the following expression using rules of logarithms: Expand the following expression using rules of logarithms:

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Contract the following expression using rules of logarithms. Express your answer as a single logarithm. Contract the following expression using rules of logarithms. Express your answer as a single logarithm.

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Which one of the following is true about the graph of Which one of the following is true about the graph of

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Expand the following expression using rules of logarithms: Expand the following expression using rules of logarithms:

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Expand the following expression using rules of logarithms: Expand the following expression using rules of logarithms:

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Which of the following is the exact solution to the equation: Which of the following is the exact solution to the equation:

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A growth rate of 14% of corresponds to what continuous growth rate? Write your answer as a percent rounded to 2 decimal places.

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Which of the following functions would not appear as a straight line on a semi-log plot?

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If an investment earns interest at a rate of 7.5% compounded continuously, what is the effective annual interest rate? Round the answer to the nearest hundredth of a percent.

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The noise level, N, of a sound (measured in decibels,db) is defined to be The noise level, N, of a sound (measured in decibels,db) is defined to be   where I is the intensity of the sound (measured in watts/cm<sup>2</sup>). Find the intensity (in watts/cm<sup>2</sup>) of a sound with a noise level of 30 decibels. Write your answer as a power of ten. where I is the intensity of the sound (measured in watts/cm2). Find the intensity (in watts/cm2) of a sound with a noise level of 30 decibels. Write your answer as a power of ten.

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Solve the equation for x. Solve the equation for x.     Round your answer to 2 decimal places. Round your answer to 2 decimal places.

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Which of the following is a semi-log plot of the function Which of the following is a semi-log plot of the function

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Write the exponential function, Write the exponential function,   , in an equivalent logarithmic form,   . Round values to 2 decimal places, if necessary. , in an equivalent logarithmic form, Write the exponential function,   , in an equivalent logarithmic form,   . Round values to 2 decimal places, if necessary. . Round values to 2 decimal places, if necessary.

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Which of the following is the exact solution of the equation? Which of the following is the exact solution of the equation?

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Expand the following expression using rules of logarithms: Expand the following expression using rules of logarithms:

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Upon her retirement, Mary begins to receive money from a retirement account. The function, Upon her retirement, Mary begins to receive money from a retirement account. The function,   , gives the money remaining, M, in the account t years after her retirement. How many years until the account balance is $490,000? Round your answer to the nearest year. , gives the money remaining, M, in the account t years after her retirement. How many years until the account balance is $490,000? Round your answer to the nearest year.

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