February 26, 2016
5.5 Logarithmic and
Exponential
Equations Day 2
Objectives:
1. Work with the properties of logarithms
2. Write a logarithmic expression as a
sum/difference of logarithms
February 26, 2016
Recall Properties
a product breaks up as a sum
a quotient breaks up as a difference
a power can jump out front
February 26, 2016
Using Properties of Logs to Expand/Condense
The next several examples are about EXPANDING log
expressions.
Example 1: Write the expression as a sum and/or
difference of logarithms. Express all powers as factors.
February 26, 2016
Example 2: Write the expression as a sum and/or
difference of logarithms. Express all powers as factors.
February 26, 2016
Example 3: Write the expression as a sum and/or
difference of logarithms. Express all powers as factors.
February 26, 2016
Using Properties of Logs to Expand/Condense
Example 4 : Write as a single logarithm.
February 26, 2016
Example 5 : Write as a single logarithm.
February 26, 2016
Example 6 : Write as a single logarithm.
February 26, 2016
Homework:
Finish Web Assignment 5.5
You should be able to:
1. Work with the properties of logarithms
2. Write a logarithmic expression as a
sum/difference of logarithms