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Question

What is the logarithm of a negative number?


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Solution

Find the logarithm of a negative number.

The logarithmic function y=logb(x) is the inverse function of the exponential function such that x=by
Because the base b is positive (b>0), any real y must have a positive by>0 base b raised to the power of y.

Since, x must be a positive value (x>0).

A negative number's real base b logarithm is undefined.
Thus, logb(x) is undefined forx0


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