Interchange the variables.

Rewrite the equation as .

Rewrite in exponential form using the definition of a logarithm. If and are positive real numbers and , then is equivalent to .

Solve for

Apply the product rule to .

One to any power is one.

Rewrite the equation as .

Replace the with to show the final answer.

Set up the composite result function.

Evaluate by substituting in the value of into .

Since , is the inverse of .

Find the Inverse y = log base 1/3 of x