Properties of logarithms

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Properties of logarithms
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Properties of logarithms
Examples
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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

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Properties of Logarithms

• The Log of a Power Equals the Product of the
  Power and the Log

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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

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Examples

• On-line example
• More on-line examples

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Change of Base Formula

• Approximate
• So how do we do this in general?

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Change of Base Formula
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Using the Change of Base Formula

• Approximate
• More Examples

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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.

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Summary of Properties of Logarithms

• See page 320 for a summary of the logarithm
  properties