Exam 6: Logarithmic Links: Logarithmic and Exponential Functions
Exam 1: An Introduction to Data and Functions149 Questions
Exam 2: Rates of Change and Linear Functions215 Questions
Exam 3: When Lines Meet: Linear Systems81 Questions
Exam 4: The Laws of Exponents and Logarithms: Measuring the Universe201 Questions
Exam 5: Growth and Decay: An Introduction to Exponential Functions146 Questions
Exam 6: Logarithmic Links: Logarithmic and Exponential Functions108 Questions
Exam 7: Power Functions109 Questions
Exam 8: Quadratics and the Mathematics of Motion127 Questions
Exam 9: New Functions From Old137 Questions
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Solve the equation for x.
Round your answer to 2 decimal places.

Free
(Short Answer)
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Correct Answer:
44. 70
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.

Free
(Short Answer)
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Correct Answer:
7 years
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.

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

(Multiple Choice)
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Which of the following is the exact solution to the equation: 

(Multiple Choice)
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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.
(Short Answer)
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Which of the following functions would not appear as a straight line on a semi-log plot?
(Multiple Choice)
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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.
(Short Answer)
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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/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.

(Short Answer)
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Solve the equation for x.
Round your answer to 2 decimal places.

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


(Essay)
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Which of the following is the exact solution of the equation? 

(Multiple Choice)
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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.

(Short Answer)
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