🎓 CLEP Exam Prep

Expand the logarithmic expression: log₅(x²y³ / z)

A 2log₅x + 3log₅y - log₅z
B log₅(x²) + log₅(y³) + log₅z
C 6log₅(xy) - log₅z
D 2log₅x + 3log₅y + log₅z

✓ Correct Answer: Option A

Use the logarithm properties: log(AB) = logA + logB, log(A/B) = logA - logB, and log(A^c) = c logA. Thus, log₅(x²y³) - log₅z = log₅(x²) + log₅(y³) - log₅z = 2log₅x + 3log₅y - log₅z.

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