Find the inverse of the function.
-$$f ( x ) = 5 ^ { x }$$
A) $f ^ { - 1 } ( x ) = \log _ { 5 } x$
B) $f ^ { - 1 } ( x ) = x ^ { 5 }$
C) $f ^ { - 1 } ( x ) = \ln ( 5 x )$
D) $f ^ { - 1 } ( x ) = \log _ { x } 5$

Question

Quizplus · Accepted Answer

The inverse of an exponential function $f(x) = a^x$ is a logarithmic function $f^{-1}(x) = \log_a x$. Therefore, the inverse of $f(x) = 5^x$ is $f^{-1}(x) = \log_5 x$.

Find the Inverse of the Function f(x)=5xf ( x ) = 5 ^ { x }f(x)=5x

Find the Inverse of the Function $f ( x ) = 5 ^ { x }$