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Evaluating Logarithms Mentally

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A logarithm evaluates mentally by asking the exponent question aloud: what power of this base makes this input?

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log₂(32) = 5, since 2⁵ = 32; log₉(3) = 1/2, since 9^(1/2) = 3; log₇(1) = 0, since anything to the 0 is 1.

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