What is the inverse of the logarithmic function f(x) = log_e X

Solution:

Given:  f(X) = log_eX

Let y = log_e X

x = log y

⇒ y = e^x

The inverse of the logarithmic function is the exponential function.

Lets consider another example:

The inverse of the logarithmic function f(x) = log_e X = 3

The inverse form of the given logarithmic equation is always an exponential for:

e³ = X

What is the inverse of the logarithmic function f(x) = log_e X

Summary:

The inverse of the logarithmic function f(x) =  log_e X is  y = e^x