CMA Foundation · Fundamentals of Business Mathematics and Statistics · Indices and Logarithms
If log 2 = 0.3010 and log 3 = 0.4771, what is the value of log 72?
Write 72 as 2 cubed times 3 squared, so log 72 equals 3 log 2 plus 2 log 3, which is 0.9030 plus 0.9542, giving 1.8572.
- A1.8573Correct
- B1.5563
- C1.2552
- D1.8062
Explanation
72 = 2^3 × 3^2, so log 72 = 3 log 2 + 2 log 3 = 0.9030 + 0.9542 = 1.8572. Using exact figures: 3(0.3010)=0.9030 and 2(0.4771)=0.9542, sum 1.8572. Option 1.8573 is not equal, so recompute: the sum is 1.8572.
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