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Published byAiden Fitzpatrick Modified over 3 years ago

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Properties of Logarithmic Functions Objective: Simplify and evaluate expressions involving logarithms.

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Product and Quotient Properties of Logarithms For Product Property

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Product and Quotient Properties of Logarithms For Product Property Quotient Property

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Product and Quotient Properties of Logarithms For Product Property Quotient Property You can use these properties to evaluate logarithmic expressions.

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Example 1

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Try This Given that, approximate each expression.

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Try This Given that, approximate each expression.

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Try This Given that, approximate each expression.

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Example 2

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Try This Write each expression as a single logarithm. Then, simplify if possible.

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Try This Write each expression as a single logarithm. Then, simplify if possible.

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Try This Write each expression as a single logarithm. Then, simplify if possible.

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The Power Property of Logarithms For, and any real number p:

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Example 3

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Try This Evaluate.

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Try This Evaluate.

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Exponential-Logarithmic Inverse Properties For b > 0 and :

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Example 4

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Try This Evaluate each expression.

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Try This Evaluate each expression.

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Try This Evaluate each expression.

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One-to-One Property of Logarithms If, then x = y.

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Example 5

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Homework Page odd

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