Solve the logarithmic equation: log₂(x) + log₂(x - 2) = 3?
✓ Correct Answer: Option A
Combine logarithms: log₂(x(x-2)) = 3. Convert to exponential form: x(x-2) = 2³, which simplifies to x² - 2x - 8 = 0. Factoring gives (x-4)(x+2)=0, so x=4 or x=-2. However, x must be > 2 for the original logarithms to be defined, so x=4 is the only solution.