Given that log 2 = 0.3010 and log 3 = 0.4771, find log 72.
A1.8573CORRECT
B1.7552
C1.9542
D1.6532
GCEFurther MathematicsSurds, Indices and Logarithms2022
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Why the answer is A, and why the others tempt you.
72 = 8 × 9 = 2³ × 3². So log 72 = 3 log 2 + 2 log 3 = 3(0.3010) + 2(0.4771) = 0.9030 + 0.9542 = 1.8572 ≈ 1.8573. Expressing 72 as a product of prime factors is the essential first step.
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