Properties of Logarithms

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Presentation transcript:

Properties of Logarithms Chapter 7-5 Dr. Guram Algebra II 3/31/16

Focus Questions How do we rewrite logarithmic expressions? How do we apply the product, quotient, and power properties of logarithms?

Curriculum standards TN SPI 3103.3.16 (Associated Tennessee Learning Expectations) Prove basic properties of logarithms using properties of exponents and apply those properties to solve problems. Sources: http://www.corestandards.org/Math/Content/HSA/CED/A/1/ Spring Board Algebra 2 Textbook

Academic language Base: The number or expression that is used as a factor in a repeated multiplication. Product Property: next slide Quotient Property: next slide Power Property: next slide

Properties of Logarithms

Properties of Logs Example 1

Properties of Logs Example 1

Properties of Logs Example 1

Properties of Logs Example 1

Properties of Logs Example 1

Guided Practice Examples

Expand a Logarithm Expression: Example 2

Example 2 Answer

Standardized Test Practice Example 3

Standardized Test Solution Example 3

Change of Base Formula

Example 4: Change of Base Formula

Example 4 Solution

Practice Problems

How do we rewrite logarithmic expressions? Review How do we rewrite logarithmic expressions? How do we apply the product, quotient, and power properties of logarithms?

Review of terms Explain and define the mathematical terms: product property of logarithms quotient property of logarithms power properties of logarithms change of base formula

Class and HW Problems 7.5 Worksheet