Question

Which function is the inverse of f(x)=b^x

Answer 1

Answer:

Answer is F^1(y)= logb^y

Step-by-step explanation: Apex:)

Answer 2

Here we are given the function:

$f(x)=b^{x}$

Steps to find inverse are :

Step 1:

First replace f(x) by y.

$y=b^{x}$

Step 2:

Replace every  x with a  y and replace every  y with an  x.

$x=b^{y}$

Step 3:

Solve the equation from step 2 for y.

$x=b^{y}$

Taking log on both sides:

$logx=log(b^{y})$

$logx=ylogb$

$y=\frac{logx}{logb}$

Answer:

Inverse function is :

$y=\frac{logx}{logb}$