2018 · Q14
If ₁0} 2 = 0.3010 and ₁0} 3 = 0.4771, then the value of ₁00} (0-72) is equal to
Elementary MathematicsAlgebra
- A0.9286
- B1.9286
- C1.8572
- D1.8572
Explanation
Using log_100(72) = log_10(72)/log_10(100) and 72 = 2^3 x 3^2: log_10(72) = 3 x 0.3010 + 2 x 0.4771 = 0.9030 + 0.9542 = 1.8572. Dividing by log_10(100) = 2 gives 1.8572/2 = 0.9286. Hence option A.