# Log Property Question

• June 15th 2013, 12:05 AM
ReneG
Log Property Question
Since $b^{\log_b{x}} = x$ then does $b^{\log_b{f(x)}} = f(x)$?
• June 15th 2013, 12:13 AM
chiro
Re: 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).