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Why is it important that the definition states that the base of the logarithm is positive?

Why is it important that the definition states that the base of the logarithm is positive?
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Why is it important that the definition states that the base of the logarithm is positive?

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User The Bitman
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Because thelogarithm is the inverse function of the exponential operation, i.e.: if ab=c a , then b=loga(c) b = log a ⁡ ( c ) .
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User Anatoli Klamer
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