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

Expand by moving outside the logarithm.

The natural logarithm of is .

Multiply by .

Rewrite as .

Expand by moving outside the logarithm.

The natural logarithm of is .

Multiply by .

Subtract from both sides of the equation.

Factor out of .

Factor out of .

Factor out of .

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Solve for x e^(ax)=Ce^(bx)