Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
Expand the left side.
Expand by moving outside the logarithm.
Rewrite as .
Use the quotient property of logarithms, .
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
The result can be shown in multiple forms.
Solve for x (5/4)^x=(64/125)