1. THE LAWS OF LOGARITHMS Patterns & Relations #3

2. Prerequisites

3. Answers to Prerequisites 1. a) x 6 b) 10 8 c) a m+n d) x 12 e) 10 10 f) a mn g) x 4 h) 10 4 i) a m-n 2. a) 3b) 8 3.

4. Law of Logarithms for Powers Read p.79 of your text  One example is in base 10  The second example is in base a The law states:

5. Example

6. You try… Solve the equation 5 x = 40 to 5 decimal places.

7. The solution

8. Another Example

9. You try… Determine log 3 14 to 5 decimal places.

10. The solution

11. Law of Logarithms for Multiplication Read p.81 of your text  One example is in base 10  The second example is in base a The law states:

12. Example

13. You try… Solve the equation 15 x 1.08 n = 20 000 to 1 decimal place.

14. The solution

15. Law of Logarithms for Division The law states:

16. Example

17. You try… Simplify: log 5 50 – log 5 0.4

18. You try…

19. Textwork p.83/ 1-19