Properties of Logarithms Section 8.5. WHAT YOU WILL LEARN: 1.How to use the properties of logarithms...

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Transcript of Properties of Logarithms Section 8.5. WHAT YOU WILL LEARN: 1.How to use the properties of logarithms...

Nth Root and Rational Exponents

Properties of LogarithmsSection 8.5What You Will Learn: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: 1.

2. log521

3. log549

You Try!

Use to approximate the following:1.

2. log955

3. log925

Expanding a Logarithmic Expression

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

Expand . Assume x and y are positive. Condensing a Logarithmic ExpressionsCondense log 6 + 2 log 2 log 3You Try!

Condense Change of Base Formula

andExampleEvaluate the expression log37 using common and natural logarithms.

1. log37

2. log37Homeworkpage 496, 14-24 even, 30-42 even, 46-52 even, 58, 60, 70