# Need math help with logarithmic functions!

**Question description**

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

a.

b.

c.

d.

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

a.

b.

c.

d.

Which of the following logarithms is equal to 1?

a.

b.

c.

d.

Evaluate the logarithm 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

a.

b. Log x

c. log 2

d. x

Find the inverse of the function y =

a.

b. y=2x

c.

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?

a.

b.

c.

d.

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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