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

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Presentation on theme: "Properties of Logarithmic Functions Objective: Simplify and evaluate expressions involving logarithms."— Presentation transcript:

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

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5 Product and Quotient Properties of Logarithms For Product Property

6 Product and Quotient Properties of Logarithms For Product Property Quotient Property

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

8 Example 1

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11 Try This Given that, approximate each expression.

12 Try This Given that, approximate each expression.

13 Try This Given that, approximate each expression.

14 Example 2

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

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

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

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

21 Example 3

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23 Try This Evaluate.

24 Try This Evaluate.

25 Exponential-Logarithmic Inverse Properties For b > 0 and :

26 Example 4

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29 Try This Evaluate each expression.

30 Try This Evaluate each expression.

31 Try This Evaluate each expression.

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

33 Example 5

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37 Homework Page odd


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