What is the inverse function of #f(x)=b^x#?

1 Answer
Sep 30, 2016

#f^{-1}(x)=g(x)=log_b(x)#

Explanation:

The inverse of the exponential is the logarith, and this is true for any base. So, the inverse function of #e^x# is #ln(x)#, which is logarithm with base #e#; the inverse function of #10^x# is #log_10(x)#, and so on.