Objectives: Be able to identify the properties of logarithms. Be able to simplify logarithms by using the properties. Be able to expand logarithms by using the properties. Be able to evaluate logarithms by using the properties. Critical Vocabulary: Identity Property Product Property Quotient Property Power Property

I. Logarithmic Properties: a. Identity Property Example: b. Product Property Example 1: Example 2: c. Quotient Property Example 1:

I. Logarithmic Properties: d. Power Property Example 1: Example 2: e. Pointless Property Example:

II. Writing Single Logarithms (Condense) Example 1: (Product Property) Example 2: (Power Property) (Quotient Property) (Product Property)

II. Writing Single Logarithms (Condense) Example 3: (Power Property) (Quotient Property) (Simplify)

III. Expand Each Logarithms Example 1: (Quotient Property) (Product Property) (Power Property) Example 2: (Power Property) (Product Property) (Distribute)

IV. Evaluating Logarithms Example 1: (Quotient Property) (Convert to Exponential) Example 2: (Power Property) (Quotient Property) (Convert to Exponential)

Theorem: If M=N, Then This means if you take the log of both sides the problem does not change. Example: (Convert to Exponential) (Take log of both sides) (Power Property) (Division)

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