Question

What is the inverse of the function below?

Answer 1

Answer:

$\frac{ln \: x}{ln \: 3} = {f}^{-1}(x)$

Step-by-step explanation:

To find the inverse, interchange the variables and solve for y.

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Answer 2

Answer:

$Log_{(3)}X$

Step-by-step explanation:

$f(x)=3^{X}$

$y=3^{X}$

exchange the variables x and y

$X=3^{y}$

$Log_{(3)}X=Log_{(3)}3^{y}$

$Log_{(3)}X=y$

$f^{-1}(x)=Log_{(3)}X$