Solve for x: log₂(x-3) + log₂(x-1) = 3.
✓ Correct Answer: Option B
Use log property log(ab) to get log₂((x-3)(x-1)) = 3. Convert to (x-3)(x-1) = 2³, leading to x² - 4x - 5 = 0. Factoring gives (x-5)(x+1) = 0, so x=5 or x=-1. Logarithm arguments must be positive, so x>3. Therefore, x=5 is the only valid solution.