Exam 3: Exponential and Logarithmic Functions

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Does the graph shown display exponential growth or decay? Does the graph shown display exponential growth or decay?

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Growth

Solve the logarithmic equation. Solve the logarithmic equation.

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5

Solve the exponential equation. Make sure to isolate the base to a power first. Round your answer to three decimal places. Solve the exponential equation. Make sure to isolate the base to a power first. Round your answer to three decimal places.

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B

At 5 A.M. a body is found in a park. The police measure the body's temperature to be 90ºF. At 6 A.M. the medical examiner arrives and determines the temperature to be 86ºF. Assuming the temperature of the park was constant at 70ºF, how long has the victim been dead? (Normal body temperature is 98.6ºF.) Round to one decimal place.

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Approximate the number Approximate the number    . Round your answer to two decimal places. . Round your answer to two decimal places.

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Evaluate exactly (without using a calculator). For rational exponents, consider converting to radical form first. Evaluate exactly (without using a calculator). For rational exponents, consider converting to radical form first.

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Graph the logarithmic function. Graph the logarithmic function.       Graph the logarithmic function.

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Solve the logarithmic equation. Round your answer to three decimal places. Ln (4x) = 3

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Graph the logarithmic function. Graph the logarithmic function.       Graph the logarithmic function.

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If Vu deposits $5,500.00 in a savings account that earns 4% interest per year compounded quarterly, how much money can she expect to be in the account in 5 years? Round your answer to two decimal places.

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Use the properties of logarithms to simplify the expression. Use the properties of logarithms to simplify the expression.

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Solve the logarithmic equation exactly. Solve the logarithmic equation exactly.

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The magnitude M of an earthquake is measured using the Richter Scale The magnitude M of an earthquake is measured using the Richter Scale    where M is the magnitude E is the seismic energy energy released by the earthquake ( in joules) E<sub>0</sub> is the energy released by a reference earthquake E<sub>0</sub> = 10<sup>4.4</sup> joules  On September 25, 2003, an earthquake that measured  7.0 on the Richter scale shook Hokkaido, Japan. How much energy (joules) did the earthquake emit? where M is the magnitude E is the seismic energy energy released by the earthquake ( in joules) E0 is the energy released by a reference earthquake E0 = 104.4 joules On September 25, 2003, an earthquake that measured 7.0 on the Richter scale shook Hokkaido, Japan. How much energy (joules) did the earthquake emit?

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Match the graph with the logarithmic function. F(x) = Match the graph with the logarithmic function. F(x) =

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In 2002 the population of Stony Creek was 7,500. Their population increases by 1.5% per year. What is the expected population in Stony Creek in 2018? Round your answer to the nearest whole number.

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State the domain and range for the function. Express in interval notation. State the domain and range for the function. Express in interval notation.

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Use the properties of logarithms to simplify the expression. Use the properties of logarithms to simplify the expression.

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For the exponential function For the exponential function    , state the y-intercept. Round your answer to two decimal places. , state the y-intercept. Round your answer to two decimal places.

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If Gabriel deposits $19,500 in a savings account that earns 1.5% interest per year compounded daily, how much money can he expect to be in the account in 6 years? Round your answer to two decimal places.

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If you put $14,100 in a savings account that pays 2.8% a year compounded continuously, how much will you have in the account in 18 years?

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