# Find the Inverse y = natural log of x

Interchange the variables.
Solve for .
Rewrite the equation as .
To solve for , rewrite the equation using properties of logarithms.
Exponentiation and log are inverse functions.
Solve for and replace with .
Replace the with to show the final answer.
Set up the composite result function.
Evaluate by substituting in the value of into .
Exponentiation and log are inverse functions.
Since , is the inverse of .
Find the Inverse y = natural log of x