Question

Which of the following is the inverse of y=3* ? E OF y=log, y = logix

Answer 1

Answer:

$y = log_{3}(x)$

Step-by-step explanation:

The given function is

$y = {3}^{x}$

To find the inverse, we interchange x and y to get:

$x = {3}^{y}$

We now solve for y by taking antilogarithm.

$y = log_{3}(x)$

Therefore the inverse of the given exponential equation is the logarithm function

$y = log_{3}(x)$