# -logarithmic-functions-math-homework-help-

Completely and accurately answer all questions. double check all work.

Which of the following equations shows the logarithmic equation below in exponential form?

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Which of the following equations shows the logarithmic equation below in exponential form?

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Which of the following logarithms is equal to 1?

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Evaluate the logarithm without a calvulator.

-2

2

1/2

-1/2

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Use a calculator to evaluate log 6. Round to three decimal places.

0.778

1.792

2.449

1.732

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Simplfy the expression

Log x

log 2

x

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Find the inverse of the function y =

y=2x

y=7x

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What is the domain and range of the graph of the function below?

y = log (x-2)

Domain: all real numbers; Range: y > 2

Domain: all real numbers; Range: y < 2

Domain: x > 2; Range: all real numbers

Domain: x < 2; Range: all real numbers

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Which of the following shows the graph of the function below?

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The Richter scale is used for measuring the magnitude of an earthquake. The Richter magnitude *R* is given by the model below, where *E* is the energy (in kilowatt-hours) released by the earthquake.

*R* = 0.67 log (0.37*E*) + 1.46

Suppose an earthquake releases 14,500,000,000 kilowatt-hours of energy. What is the earthquakeâ€™s magnitude? Round to three decimal places.

4.400

3.979

8.268

7.979

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