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Answer:
[tex]\text{for }f(x)=\log_b(x),\text{ the inverse is }f^{-1}(x)=b^x[/tex]
Step-by-step explanation:
As with any function and its inverse, you can find the inverse of ...
[tex]f(x)=\log_b(x)[/tex]
by solving the equation x = f(y).
[tex]x=\log_b(y)\\\\b^x=y\qquad\text{use as a power of b}\\\\\boxed{f^{-1}(x)=b^x}[/tex]
