CMA Foundation · Fundamentals of Business Mathematics and Statistics · Indices and Logarithms
Given log10(2) = 0.3010, what is the characteristic of log10(2000)?
The characteristic of log10(2000) is 3. Since 2000 has four digits before the decimal point, its characteristic is one less than the number of digits. Indeed log 2000 = 3 + 0.3010 = 3.3010, so the integral part is 3.
- A2
- B3Correct
- C4
- D0
Explanation
2000 = 2 × 10^3, so log 2000 = 3 + 0.3010 = 3.3010. The integral part, the characteristic, is 3. Choosing 4 comes from counting the digits (4) instead of subtracting 1.
Did you get it right without looking?
One question tells you little. A timed set on Indices and Logarithms shows your real accuracy, how long you take and where you lose marks.
More Indices and Logarithms questions
- If 3^(2x-1) = 81, the value of x is:
- If 3^x = 81 × 27, find x using logarithms of base 3 properties.
- What is the value of log base 2 of 32 plus log base 3 of 81?
- If log base x of 0.0625 = -4, what is the value of x?
- The value of (27)^(2/3) × (16)^(-1/4) is:
- Simplify (5^(n+2) − 5^n) ÷ (5^(n+1) − 5^(n-1)).