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Math and Arithmetic
Algebra

Why can the base of a logarithm be neither less than or equal to zero nor equal to one?

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November 11, 2007 5:53PM

A logarithm is written like this: logab It is asking: 'How many a's must be multiplied together to get b?' or 'To what power must a be raised to get b?' Those questions are normally impossible to answer if a is zero or one, because these numbers remain the same no matter what the power. If a is negative, then the need to introduce imaginary and complex numbers will arise.