Lesson29

# Lesson29 - MA 15200 Lesson 29 Section 4.3 This lesson is on...

This preview shows pages 1–2. Sign up to view the full content.

1 MA 15200 Lesson 29 Section 4.3 This lesson is on the properties of logarithms. Properties of logarithms model the properties of exponents. I Product Rule Product Rule of Exponents : m n m n b b b Notice: When the bases were the same, the exponents were added when multiplication was performed. Likewise logarithms are added when multiplication is performed in the argument. Product Rule of Logarithms : log ( ) log log b b b MN M N  In words, the logarithm of a product is the sum of the logarithms. When a single logarithm is written using this product rule, we say we are expanding the logarithmic expression. Ex 1: Assume all variables represent positive values. Use the product rule to expand each expression and simplify where possible.   2 2 5 ) log (7 ) ) log 2 ) log(100 ) ) ln(20 ) b ar b x y c ab de II Quotient Rule Quotient Rule for Exponents : m mn n b b b Notice: When the bases were the same, the exponents were subtracted when division was performed. Likewise, logarithms are subtracted when division is performed in the argument.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This document was uploaded on 01/19/2012.

### Page1 / 5

Lesson29 - MA 15200 Lesson 29 Section 4.3 This lesson is on...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online