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

Question

asked Jul 1, 2020 190k views

2 Answers

Prasad Shirvandkar · Answer 1 · 2020-07-08T15:10:29+0000

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