Question

What is the inverse of the function below f(x)=3^x

Answer 1

`f^(-1)(x)=(ln(x))/(ln(3))`

Explanation:

Given:
`f(x)=3^x`

To find the inverse, let's first replace the
`f(x)` with
`y`.

`y=3^x`

Switch the
`x` and
`y`.

`x=3^y`

Solve for
`y`.

`y=(ln(x))/(ln(3))`

Write it in inverse notation.

`f^(-1)(x)=(ln(x))/(ln(3))`

Answer 2

Answer: A) f^-1(x) = log₃x