Properties of Logarithms Section 6.5

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What You Will Learn Use the properties of logarithms to evaluate logarithms. Use the properties of logarithms to expand or condense logarithmic expressions. Use the change-of-base formula to evaluate logarithms.

Example 1

You try

Expanding a Logarithmic Expression

You try

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Condensing a Logarithmic Expression

Change-of-Base Formula Logarithms with any base other than 10 or e

Changing a Base Using Common Logarithms Changing a Base Using Natural Logarithms