Question

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Question: Prove that the base of logarithm cannot be negative.

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Answer 1

Answer:

For example, if b = -4 and y = 1/2, then b^y = x is equal to the square root of -4. This wouldn't give us any real solutions! So the base CANNOT be negative. Putting together all 3 conclusions, we can say that the base of a logarithm can only be positive numbers excluding 1 i.e. 0 < b < 1 or b > 1