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AAF includes properties of logarithms and solving exponential/logarithmic equations. Use the product rule: log⁡bM+log⁡bN=log⁡b(MN)\log_b M + \log_b N = \log_b (MN). Combine the logs: log⁡3(x(x−2))=2\log_3 \big(x(x-2)\big) = 2. Rewrite in exponential form: x(x−2)=32=9x(x - 2) = 3^2 = 9. Expand: x2−2x−9=0x^2 - 2x - 9 = 0. Solve the quadratic: x=2±4+362=2±402=2±2102=1±10x = \frac{2 \pm \sqrt{4 + 36}}{2} = \frac{2 \pm \sqrt{40}}{2} = \frac{2 \pm 2\sqrt{10}}{2} = 1 \pm \sqrt{10}. Numerical values: 1+10≈1+3.1623=4.16231 + \sqrt{10} \approx 1 + 3.1623 = 4.1623 and 1−10≈−2.16231 - \sqrt{10} \approx -2.1623. Because the domain requires x>2x > 2 and the logarithms need positive arguments, only x≈4.1623x \approx 4.1623 is valid. Among the options, 4 is the closest and correct discrete choice (B). Quick verification: log⁡3(4)+log⁡3(2)=log⁡3(8)\log_3(4) + \log_3(2) = \log_3(8). Since 32=93^2 = 9 and 8<98 < 9, the exact solution is slightly above 4, matching our computed 4.16234.1623. ACCUPLACER emphasizes applying log rules, translating between logarithmic and exponential forms, respecting domain restrictions, and checking reasonableness of approximations.