🎓 CLEP Exam Prep

Solve the logarithmic equation: log₂(x) + log₂(x - 2) = 3?

A x = 4 only
B x = -2 only
C x = 4 and x = -2
D No real solution

✓ 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.

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