Properties of Logarithms Section 8.5

WHAT YOU WILL LEARN: 1.How to use the properties of logarithms to simplify and evaluate expressions.

Some Questions How do you simplify the following:

So ….. Remember that logarithms are another way to write exponents. The Properties of Logarithms are based on the properties of exponents – Product Property: Quotient Property: Power Property:

Using Properties of Logarithms Use to approximate the following: log log 5 49

You Try! Use to approximate the following: log log 9 25

Expanding a Logarithmic Expression Expand. Assume x and y are positive.

You Try! Expand. Assume x and y are positive.

Condensing a Logarithmic Expressions Condense log log 2 – log 3

You Try! Condense

Change of Base Formula and

Example Evaluate the expression log 3 7 using common and natural logarithms. 1. log log 3 7

Homework page 496, even, even, even, 58, 60, 70