Exam 6: Logarithmic Links: Logarithmic and Exponential Functions

Contract the following expression using rules of logarithms. Express your answer as a single logarithm.

Identify the scale used on the vertical axis of this graph.

Solve the equation for x. Round your answer to 2 decimal places.

Expand the following expression using rules of logarithms:

Expand the following expression using rules of logarithms:

Contract the following expression using rules of logarithms. Express your answer as a single logarithm.

Expand the following expression using rules of logarithms:

Find the equivalent exponential function from the given logarithmic form, . Write your answer in form and round values to 2 decimal places.

Contract the following expression using rules of logarithms. Express your answer as a single logarithm.

Contract the following expression using rules of logarithms. Write your answer as a single logarithm.

Find the exponential function from the given equivalent logarithmic form, . Write your answer in form.

Contract the following expression using rules of logarithms. Write your answer as a single logarithm.

Solve for x.

The graphs of the three functions, , , and are given. Which color is the graph of ?

Contract the following expression using rules of logarithms. Express your answer as a single logarithm.

Contract the following expression using rules of logarithms. Write your answer as a single logarithm.

Contract the following expression using rules of logarithms. Express your answer as a single logarithm.

Solve the equation for t. Round your answer to 2 decimal places.

Write the exponential function, , in an equivalent logarithmic form, .

Solve the equation for x.