Question

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

Answer 1

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

Answer 2

Answer:

B) y=log3x

Step-by-step explanation:

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