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THE LAWS OF LOGARITHMS Patterns & Relations #3. Prerequisites.

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Presentation on theme: "THE LAWS OF LOGARITHMS Patterns & Relations #3. Prerequisites."— Presentation transcript:

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


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