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3.3 Properties of Logarithms

Essential Question:How do you rewrite logarithmic expressions to evaluate them?

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What's a "logarithm?"

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The Properties:

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Please note…

Common Log:

Natural Log:

Change of Base:

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Ex. 1﴿ Expand.

a﴿

b﴿

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Ex. 2﴿ Expand.

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If log 4=0.6021, log 5=0.6990, and log 6=0.7782 find:log 24

log 125

log 1/6

Ex. 3﴿

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Ex. 4﴿ Condense into one logarithm.

a﴿

b﴿

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Ex. 5﴿ Evaluate.a﴿

b﴿

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Ex. 6﴿  Evaluate.

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Assignment:

3.3 WS Properties of Logarithms