# Is the logarithmic function inverse of an exponential function?

We will use the concept of inverse function to find the inverse of the exponential function.

## Answer: We can conclude that the inverse of an exponential function is a logarithmic function.

Let us see how we will use the concept of inverse function to find the inverse of the exponential function.

**Explanation:**

Let us consider an exponential function y = e^{ax + b}.

In order to find the inverse of the function we have to find the value of x in the above function and that will be the inverse of the function y.

Taking log to both sides we get,

log (y) = ax + b

ax = log (y) - b

x = [ log (y) - b ] / a

Hence , inverse of function y is y^{-} = [ log (x) - b ] / a