Question

Which of the following is the inverse of y=3^x?

Answer 1

Answer: B: y=log3^x

Explanation:

Answer 2

For this case, we must find the inverse of the following function:

`y = 3 ^ x`

We follow the steps below:

We exchange the variables:

`x = 3 ^ y`

We put the variable y on the left side of the equation:

`3 ^ y = x`

We apply logarithm properties:

`y = log_ {3} (x)`

So:

`f ^ {- 1} = log_ {3} (x)`

Answer:

`f ^ {- 1} = log_ {3} (x)`

Option B