logarithmic functions, math homework help

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algrnpue

Mathematics

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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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Explanation & Answer

HiPlease check the attached file for detail, let me know if you have any question, thank you. James

Completely and accurately answer all questions. double check all work.
Which of the following equations shows the logarithmic equation below...


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