One-to-One Correspondence of Exponential | Solving for x using One-to-One Correspondence of Exponent

If x^a = x^b, since the bases are the same, a = b. Given an equation with different bases on the two sides of the equation, re-write one or both sides to get the same base. Once the bases are the same, we can ignore the base and equate the exponents. To solve for x, isolate x on one side.