Solve for x: 4^(x+1) = 8^(2x-1)?
✓ Correct Answer: Option A
Rewrite with a common base: (2^2)^(x+1) = (2^3)^(2x-1). This simplifies to 2^(2x+2) = 2^(6x-3). Equate exponents: 2x+2 = 6x-3. Solving for x yields 5 = 4x, so x = 5/4.
Rewrite with a common base: (2^2)^(x+1) = (2^3)^(2x-1). This simplifies to 2^(2x+2) = 2^(6x-3). Equate exponents: 2x+2 = 6x-3. Solving for x yields 5 = 4x, so x = 5/4.