To find the inverse of the exponential function [tex]\(8^4\)[/tex], the inverse operation we use is the logarithm. Specifically, we use the logarithm that corresponds to the base of the exponential function.
First, identify the base of the given exponential function. In this case, the function is [tex]\(8^4\)[/tex], which means the base of the exponential function is 8.
To find the inverse, we need the logarithm with that same base. Therefore, the base of the logarithm is:
[tex]\[
8
\][/tex]
So, the answer is:
[tex]\[
8
\][/tex]
