# Exponential and Logarithmic Functions and Compound Interest

1. Graph: f(x)=e cubic x

2. Are the following functions inverses of each other?

Yes or no a. F(x)=x-1/3 b. G(x)=3x-1

3. Solve for x: ln(7x-1)=6

4. Identify the graph of the function: f(x)=2-4^x

5. Solve for x: in x = 3+in(x-1)

6. The half-life of carbon 14 is 5730 years. Find the percent of a sample present after 5370 years.

7. If a principal of $870 is invested at an annual interest rate of 4 percent compounded annually, what is the account balance at the end of 6 years?

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1. Plot the function

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#### Solution Summary

Exponential and Logarithmic Functions are investigated. The solution is detailed and well presented.