Exam 6: Logarithmic Links: Logarithmic and Exponential Functions

Expand the following expression using rules of logarithms:

Find the formula for the function pictured on the semi-log plot given that the 2 points pictured are and Write your answer in form.

Solve the equation for x. Round your answer 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. Express your answer as a single logarithm.

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

Which of the following is the exact solution of the equation?

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

Expand the following expression using rules of logarithms:

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

The function, , gives the value, V, of an investment t years after the initial investment. How many years until the investment is worth $1,200? Round your answer to the nearest year.

Solve for x.

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

Determine whether the following statement is true about the graph of It has a y-intercept of 1.

Which of the following is the exact solution to the equation:

The function, , gives the value, V, of an investment t years after the initial investment. How many years until the investment is worth $420,000? Round your answer to the nearest year.

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

Expand the following expression using rules of logarithms:

The number of people, N, visiting a particular web site increases 8% each week. If the web site had 20,000 visitors this week, how many weeks until the number of people doubles? Round your answer to the nearest week.

Examine the following graph: Select the graph that is a mirror image about the y-axis.