Question

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Answer 1

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Answer:

  $\text{for }f(x)=\log_b(x),\text{ the inverse is }f^{-1}(x)=b^x$

Step-by-step explanation:

As with any function and its inverse, you can find the inverse of ...

  $f(x)=\log_b(x)$

by solving the equation x = f(y).

  $x=\log_b(y)\\\\b^x=y\qquad\text{use as a power of b}\\\\\boxed{f^{-1}(x)=b^x}$