## Chapter 10 Study Guide

- Convert from exponential form to logarithmic form. You do not need to solve. Three parts. Look at problems 1 - 4 in the review. There is one where the variable is the base, one where it is the exponent, and one where it is on the other side of the equation.
- Convert from logarithmic form to exponential form. You do not need to solve. Three parts. Look at problems 5 - 8 in the review. There is one where teh variable is the base, one where it is the argument, and one where it is teh on the other side of the equation.
- Solve the three parts from #1.
- Solve the three parts from #2.
- Rewrite a single logarithm as the sum, difference, and multiples of logarithms. Two parts. Look at problems 23 - 28 in the review.
- Rewrite the sum, difference, and multiples of logarithms as a single logarithm. Two parts. Look at problems 29 - 34 in the review.
- Solve a pH problem. Look at problems 61 - 64 in the review. The formula for pH is given on the exam.
- Solve a logarithmic equation. Two parts. Look at problems 35 - 42 in the review.
- Use properties of logarithms to approximate a logarithm. Two parts. Look at problems 55 - 60 in the review.
- Use your calculator to find logarithms. You will also need to solve an equation involving a logarithm in these bases and need the change of base formula. Four parts. Look at problems 43 - 46, 47 - 50, 69 - 72 in the review.
- Solve an exponential equation. Two parts. Look at problems 65 - 69 in the review.
- Solve an equation for the indicated variable. This problem is exactly one of 53 - 58 in section 10.4.
- True-False: Four parts. These deal with the properties of exponents. Specifically, you should know:
- The log of a product is the sum of the logs.
- The domain of the logarithm functions.
- The exponent on the argument of a logarithm is the coefficient of the logarithm.
- The log of quotient is the difference of the logs.
- The change of base formula.

- Graph a logarithmic function. Look at problems 15 - 16 in the review.
- Solve a financial problem. This is exactly one of 73 - 76 in the review.