Solve the equation for x: 9^(2x-1) = 27^(x+2)
✓ Correct Answer: Option A
Rewrite with a common base: (3^2)^(2x-1) = (3^3)^(x+2). This simplifies to 3^(4x-2) = 3^(3x+6). Equating exponents: 4x - 2 = 3x + 6. Solving for x yields x = 8.
Rewrite with a common base: (3^2)^(2x-1) = (3^3)^(x+2). This simplifies to 3^(4x-2) = 3^(3x+6). Equating exponents: 4x - 2 = 3x + 6. Solving for x yields x = 8.