Need math help with logarithmic functions!

Nov 24th, 2015
RockCafe
Category:
Mathematics
Price: $15 USD

Question description

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

log subscript 3 81 equals 4


a. 3 to the power of 81 equals 4

b. 3 to the power of 4 equals 81

c. 4 to the power of 81 equals 3

d. 81 cubed equals 4



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


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

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

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

d. 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



Which of the following logarithms is equal to 1?


a. log subscript 8 1

b. log subscript 1 1

c. log subscript 9 9

d. log subscript 2 8



Evaluate the logarithm log subscript 4 left parenthesis bevelled 1 half right parenthesis without a calvulator.


a. -2

b. 2

c. 1/2

d. -1/2



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


a. 0.778

b. 1.792

c. 2.449

d. 1.732



Simplfy the expression log subscript 2 2 to the power of x


a. x squared

b. Log x

c. log 2

d. x



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


a. y equals bevelled x over 2

b. y=2x

c. y equals 7 to the power of x

d. y=7x



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

y = log (x-2)


a. Domain: all real numbers; Range: y > 2

b. Domain: all real numbers; Range: y < 2

c. Domain: x > 2; Range: all real numbers

d. Domain: x < 2; Range: all real numbers



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

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


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

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

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

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



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 earthquake’s magnitude? Round to three decimal places.


a. 4.400

b. 3.979

c. 8.268

d. 7.979




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