CMA Foundation · Fundamentals of Business Mathematics and Statistics · Indices and Logarithms
The logarithm of a number N is 2̄.3010. Which of the following is the value of N? (Given log 2 = 0.3010)
N equals 0.02. The logarithm 2̄.3010 means minus 2 plus 0.3010, and 0.3010 is log 2. So N is 2 multiplied by 10 to the power minus 2, which is 0.02. The 0.2 option would need characteristic -1.
- A0.2
- B0.02Correct
- C2.0
- D0.002
Explanation
2̄.3010 = -2 + 0.3010, so N = 2 × 10^-2 = 0.02. Option 0.2 would correspond to 1̄.3010, which is a wrong characteristic.
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