THE LAWS OF LOGARITHMS Patterns & Relations #3

Prerequisites

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

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:

Example

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

The solution

Another Example

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

The solution

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:

Example

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

The solution

Law of Logarithms for Division The law states:

Example

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

You try…

Textwork p.83/ 1-19