Exam 11: Exponential Functions

For the following one-to-one function, find the equation of the inverse.

Use properties of logarithms to expand the expression as much as possible.

Solve the equation.

Use properties of logarithms to expand the expression as much as possible.

Solve the equation for x .

If a $20 investment is worth $60 today, how long ago must that $20 have been invested at 6% interest computed twice a year? Round your answer to two decimal places. __________ years

where is the concentration of hydrogen ions in solution. If a glass of orange juice has a pH of 4, what is the concentration of hydrogen ions in the orange juice?

Choose the graph of the function below.

Write the equation in exponential form.

Use the change-of-base property to find a decimal approximation of the following logarithm. Round your answer to four decimal places, if necessary.

For the following one-to-one function, find the equation of the inverse.

Solve the equation. x = __________

Choose the answer that shows the equation in logarithmic form.

How long will it take $500 to triple if it is invested at 9% annual interest, compounded continuously?

Let Evaluate

The annual rate of depreciation r on a car that is purchased for P dollars and is worth W dollars t years later can be found from the formula: Find the annual rate of depreciation on a car that is purchased for $5,000 and sold 4 years later for $2,500. Round the result to the nearest tenth of a percent. __________%

Solve the equation for x .

Choose the answer that shows the equation in exponential form.

Choose the answer that shows the equation in logarithmic form.

Find x in the following equation. Round the result to five decimal places, if necessary. x = __________