# Weekly Summary

A maximum of 5 bonus points will be awarded for 5 correct answers  with step by step explanations.

1. If f(x) = 8x + 16, then find f -1(x).
2. Determine if the following functions are inverses of each other:
f(x) = 7x + 14
g(x) = (1/7)x – 2
3. Write the exponential equation y = 5x in logarithmic form.
4. Write the logarithmic equation log7x = y in exponential form.
5. Use the change-of-base formula to convert x=log390 to common logarithms.  Then use a calculator to round the value of x to the nearest thousandth.
6. Find the amount of money accumulated if you invest \$10,000 at 3% interest compounded quarterly for 2 years.  Round your answer to the nearest cent.
7. Find the amount of money accumulated if you invest \$10,000 at 3% interest compounded continuously for 2 years.  Round your answer to the nearest cent.
8. Solve the following exponential equation:
5x = 2
Round your solution to the nearest hundredth.
9. Solve the following exponential equation:
ex = 10
Round your solution to the nearest hundredth.
10. Solve the following logarithmic equation:
log7x + log7(3x-2) = 0
Be sure to check all of your solutions in the original equation
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