CA Foundation · Quantitative Aptitude · Ratio and Proportion, Indices and Logarithms
Given log₁₀ 2 = 0.3010 and log₁₀ 3 = 0.4771, the value of log₁₀ 72 is:
log 72 equals about 1.8572. Write 72 as 2³ × 3², then log 72 = 3 log 2 + 2 log 3 = 0.9030 + 0.9542 = 1.8572.
- A1.8571Correct
- B1.5562
- C1.8062
- D2.1572
Explanation
72 = 2³ × 3². So log 72 = 3(0.3010) + 2(0.4771) = 0.9030 + 0.9542 = 1.8572. Nearest listed value is 1.8571 only if rounded differently, so the working gives 1.8572.
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