Properties of Logarithms: Lesson 53. LESSON OBJECTIVE: 1)Simplify and evaluate expressions using the properties of Logarithms. 2)Solve logarithmic equations.

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Presentation transcript:

Properties of Logarithms: Lesson 53

LESSON OBJECTIVE: 1)Simplify and evaluate expressions using the properties of Logarithms. 2)Solve logarithmic equations using the properties of logarithmic properties.

DEFINITIONS: 1)Common logarithms – written without the subscript 10. 2)Change of Base Formula – allows you to write equivalent logarithmic expressions that have different bases.

Properties of Logarithms: log a 1 = 0 log a a = 1 log a a x = x If log a x= log a ythen x = y because a 0 = 1 because a 1 = a Quotient Property Product Property

Properties of Logarithms : Change-of-Base Power Property

Please get out the worksheet “Study Guide and Intervention- Properties of Logarithms” and “Study Guide and Intervention- Common Logarithms” so I can show you examples of how to solve examples of logarithmic properties.

HOMEWORK!! 1)“Practice- Properties of Logarithms” Worksheet. 2)“Study Guide and Intervention- Common Logarithms” Worksheet.