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Properties of logarithms

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Presentation on theme: "Properties of logarithms"— Presentation transcript:

1 Properties of logarithms

2 Properties of logarithms
Examples

3 Properties of Logarithms
The Log of a Product Equals the Sum of the Logs The Log of a Quotient Equals the Difference of the Logs

4 Properties of Logarithms
The Log of a Power Equals the Product of the Power and the Log

5 Examples Writing a Logarithmic Expression as a Sum of Logarithms
Writing a Logarithmic Expression as a Difference of Logarithms Writing a Logarithmic Expression as a Sum and Difference of Logarithms Writing Expressions as a Single Logarithm

6 Examples On-line example More on-line examples

7 Change of Base Formula Approximate So how do we do this in general?

8 Change of Base Formula

9 Using the Change of Base Formula
Approximate More Examples

10 Graphing Logarithmic Functions
Whose Base is Neither 10 nor e Use the Change of Base formula to make it either a natural log or common log and use the steps to graphing a log function.

11 Summary of Properties of Logarithms
See page 320 for a summary of the logarithm properties


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