Solve the exponential equation: 4^(x-1) = 8^(2x+3)
✓ Correct Answer: Option A
Rewrite bases as powers of 2: (2²)^(x-1) = (2³)^(2x+3). This simplifies to 2^(2x-2) = 2^(6x+9). Equate exponents: 2x-2 = 6x+9. Solving for x yields -11 = 4x, so x = -11/4.
Rewrite bases as powers of 2: (2²)^(x-1) = (2³)^(2x+3). This simplifies to 2^(2x-2) = 2^(6x+9). Equate exponents: 2x-2 = 6x+9. Solving for x yields -11 = 4x, so x = -11/4.