Replace with .

Interchange the variables.

Rewrite the equation as .

Subtract from both sides of the equation.

Take the natural logarithm of both sides of the equation to remove the variable from the exponent.

Expand by moving outside the logarithm.

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Replace the with to show the final answer.

Set up the composite result function.

Evaluate by substituting in the value of into .

Combine the opposite terms in .

Subtract from .

Add and .

Expand by moving outside the logarithm.

Cancel the common factor of .

Cancel the common factor.

Divide by .

Since , is the inverse of .

Find the Inverse f(x)=1.5^x+4