## Math 116: Chapter 6 Study Guide

- 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)
- 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)
- 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)
- 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)
- 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)
- 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)
- 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)
- 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.