## Chapter 10 Study Guide

1. 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.
2. 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.
3. Solve the three parts from #1.
4. Solve the three parts from #2.
5. Rewrite a single logarithm as the sum, difference, and multiples of logarithms. Two parts. Look at problems 23 - 28 in the review.
6. Rewrite the sum, difference, and multiples of logarithms as a single logarithm. Two parts. Look at problems 29 - 34 in the review.
7. Solve a pH problem. Look at problems 61 - 64 in the review. The formula for pH is given on the exam.
8. Solve a logarithmic equation. Two parts. Look at problems 35 - 42 in the review.
9. Use properties of logarithms to approximate a logarithm. Two parts. Look at problems 55 - 60 in the review.
10. 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.
11. Solve an exponential equation. Two parts. Look at problems 65 - 69 in the review.
12. Solve an equation for the indicated variable. This problem is exactly one of 53 - 58 in section 10.4.
13. 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.
14. Graph a logarithmic function. Look at problems 15 - 16 in the review.
15. Solve a financial problem. This is exactly one of 73 - 76 in the review.