CMA Foundation · Fundamentals of Business Mathematics and Statistics · Indices and Logarithms
What is the characteristic of log10 (4750)?
The characteristic is 3. The number 4750 has four digits in its integral part, and the characteristic of a number greater than one is the number of integral digits minus one, so it equals 4 − 1 = 3.
- A2
- B3Correct
- C4
- D5
Explanation
4750 lies between 10^3 and 10^4, so log10 (4750) is between 3 and 4. The characteristic is the integral part, which is 3. Option 4 would result from counting the digits (4 digits) instead of subtracting 1.
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