If 3^(2x-1) = 27^y and x and y are positive integers, which of the following must be true?

✓ Correct Answer: Option A

Rewrite 27 as 3^3. The equation becomes 3^(2x-1) = (3^3)^y. Using exponent rules, this simplifies to 3^(2x-1) = 3^(3y). Since the bases are equal, the exponents must be equal: 2x - 1 = 3y.