-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?

log subscript 3 81 equals 4


3 to the power of 81 equals 4

3 to the power of 4 equals 81

4 to the power of 81 equals 3

81 cubed equals 4

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

log subscript 36 left parenthesis bevelled 1 over 6 right parenthesis equals negative bevelled 1 half


36 to the power of left parenthesis bevelled 1 over 6 right parenthesis end exponent equals negative bevelled 1 half

36 to the power of left parenthesis negative bevelled 1 half right parenthesis end exponent equals bevelled 1 over 6

6 to the power of left parenthesis negative bevelled 1 half right parenthesis end exponent equals space 36

left parenthesis bevelled 1 over 6 right parenthesis to the power of left parenthesis bevelled fraction numerator negative 1 over denominator 2 end fraction right parenthesis end exponent equals 36

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Which of the following logarithms is equal to 1?


log subscript 8 1

log subscript 1 1

log subscript 9 9

log subscript 2 8

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Evaluate the logarithm log subscript 4 left parenthesis bevelled 1 half right parenthesis 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 subscript 2 2 to the power of x


x squared

Log x

log 2

x

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Find the inverse of the function y = log subscript 7 space 49 to the power of x


y equals bevelled x over 2

y=2x

y equals 7 to the power of x

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?

y equals log subscript 5 left parenthesis x plus 4 right parenthesis


http://www.intervisualtechnology.us/data/1/16275/U9L4Q8C.jpg

http://www.intervisualtechnology.us/data/1/16273/U9L4Q8A.jpg

http://www.intervisualtechnology.us/data/1/16274/U9L4Q8B.jpg

http://www.intervisualtechnology.us/data/1/16276/U9L4Q8D.jpg

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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 (0.37E) + 1.46

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


4.400

3.979

8.268

7.979

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