Since $\displaystyle b^{\log_b{x}} = x$ then does $\displaystyle b^{\log_b{f(x)}} = f(x)$?

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- Jun 15th 2013, 12:05 AMReneGLog Property Question
Since $\displaystyle b^{\log_b{x}} = x$ then does $\displaystyle b^{\log_b{f(x)}} = f(x)$?

- Jun 15th 2013, 12:13 AMchiroRe: Log Property Question
Hey ReneG.

The answer is yes provided the logarithm is well defined. (For example in real numbers log x is undefined if x <= 0).