## Math 116: Chapter 6 Study Guide

1. Sketch the graph of an exponential and logarithmic function on the same coordinate system. Look at problems 35 - 38 in section 6.2. (4 points)
2. Rewrite an exponential equation in logarithmic form (look at 31-32 in the review*) and a logarithmic equation in exponential form. Two parts. (2 points)
3. Evaluate the given expression without a calculator. Actually, you can use a calculator, I just want exact answers. Five parts. Look at problems 33 - 39 in the review* and problems 13 - 16 in section 6.4. (10 points)
4. Evaluate each logarithm using the change of base formula. Round answers to four decimal places. Two parts. Look at problems 41 - 44 in the review* for one of the two parts. (4 points)
5. Use properties of logarithms to write the expression as the sum, difference, and/or multiple of logarithms. Three parts. Look at problems 45 - 50 in the review*. (9 points)
6. Approximate the logarithm using properties of logarithms and the approximations of key logarithms given. Then find the base used. Three parts. Look at problems 61 - 64 in the review. The logarithms are the same as in 61 - 64, but the base is different than what the book used. (6 points)
7. Use properties of logarithms to write the expressions as the logarithm of a single quantity. Three parts. Look at problems 51 - 56 in the review*. (9 points)
8. Solve each equation. Round the answers to three decimal places. Five parts. Look at problems 67 - 76 in the review*. (15 points)

### Notes:

• The in-class portion is worth 60 points.
• The take home portion is worth 40 points
• * -- the problem is straight from the text.
• Be sure to bring your calculator to the exam.
• Graphing calculators are allowed on this exam.