2^12=2^(15x) If the bases are equal, the exponents must be equal too: 12=15x Solving for x. Dividing both sides of the equation by 15: 12/15=15x/15 Simplifying. Dividing the numerator and the denominator on the right side of the equation by 3: (12/3)/(15/3)=x 4/5=x x=4/5