CMA Foundation · Fundamentals of Business Mathematics and Statistics · Indices and Logarithms
Given log 2 = 0.3010, the number of digits in 2^40 is:
The logarithm of 2^40 is 40 times 0.3010, which is 12.04. A number whose log has characteristic 12 has 13 digits, so 2^40 has 13 digits.
- A12Correct
- B13
- C11
- D40
Explanation
log 2^40 = 40 × 0.3010 = 12.04. The characteristic is 12, so the number of digits is 12 + 1 = 13. The option 12 wrongly uses the characteristic as the digit count.
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