Question

What is the inverse of the logarithmic function

Answer 1

Answer:

C. $f^{-1}(x) = 2^x$

Step-by-step explanation:

Given the logarithmic function f(x)= log₂x. To find the inverse of the function, we will follow the following steps.

Firstly, let y = f(x) so that y =  log₂x

From the expression y =  log₂x, we will make x the subject of the formula as shown;

If y =  log₂x

$x = 2^y$

Replacing y with x, the expression will become;

$y = 2^x$

The function y above will be the inverse of the logarithmic function given.

$f^{-1}(x )= 2^x$

Hence the inverse of log₂x is $2^x$