## Math 117 - Chapter 6 Study Guide

1. Make a hand-drawn graph of the exponential function. Then check your work using a grapher, if possible. Look at problems 6.1.5-17.
2. Describe the translation from a basic exponential function. Your translation should be something like "left 3", "up 2", or "reflect about the x-axis and up 5". Five parts. Look at problems 6.1.19-34.
3. Convert the exponential equation into a logarithmic equation. Look at problems 6.2.17-26.
4. Convert the logarithmic equation into an exponential equation. Look at 6.2.27-36.
5. Give the exact value of each logarithmic expression without using a grapher. Look at problems 6.2.5-16.
6. Evaluate each logarithmic expression using a grapher. Round to four decimal places. Two parts. Look at problems 6.2.37-50.
7. Use the change of base formula to evaluate the logarith. Round to four decimal places. Look at problems 6.2.51-56.
8. Describe the translation from a basic logarithmic function. Your translation should be something like "left 3", "up 2", or "reflect about the x-axis and up 5". Three parts. Look at 6.2.57-64.
9. Determine whether each statement about properties of logarithms is true or false. Four parts. Look at problems 6.3.72-78.
10. Use properties of logarithms to expand each single logarithm into the sum, difference, and/or constant multiples of logarithms of a single quantity. Assume all variables represent positive values. Three parts. Look at problems 6.3.17-24.
11. Use properties of logarithms to combine many logarithms into a single logarithm and simplify if possible. Three parts.
12. Solve the exponential equation algebraically. Give exact answers, leaving logarithms in the answer if necessary. Two parts. Look at problems 6.4.1-24.
13. Solve the logarithmic equation algebraically. Give exact answers, leaving exponentials in the answer if necessary. Two parts. Look at problems 6.4.25-40.
14. Use a grapher to find the approximate solution(s) to the equation. Round to three decimal places. Look at problems 6.4.41-49.

### Notes:

• Some of the problems are directly from the text.
• This is a take home exam. It is due the day of the final exam.

Points for each problem
 # 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Tot. pts 2 5 2 2 6 2 2 3 4 6 6 4 4 2 50