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.
The natural logarithm of is .
Multiply by .
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 e^(5x)=7