Convert log and exponential Form version 2

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Rewrite in exponential form: log₉x=2

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9²=x

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Change to logarithmic form: 3ⁿ=w

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log₃w=n

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Change to Logarithmic Form: 5³=125

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log₅125=3

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Write 5ˣ=10 in log form

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x=log₅10

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Rewrite log₂8=3 in exponential form.

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2³=8

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Definition of Logarithm

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A logarithm is the exponent to which a base must be raised to produce a given number.

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Base of a Logarithm

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The base of a logarithm is the number that is raised to a power.

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Change of Base Formula

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logₐb = logₓb / logₓa for any base x.

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Properties of Logarithms: Product Rule

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logₐ(mn) = logₐm + logₐn

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Properties of Logarithms: Quotient Rule

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logₐ(m/n) = logₐm - logₐn