CMA Foundation · Fundamentals of Business Mathematics and Statistics · Indices and Logarithms
Given that log 4.5 = 0.6532, what is the value of log 4500?
The value is 3.6532. Since 4500 equals 4.5 multiplied by 10 cubed, its logarithm equals log 4.5 plus 3. The mantissa 0.6532 stays unchanged, and the characteristic is 3 because the number has four digits in its integral part.
- A2.6532
- B3.6532Correct
- C4.6532
- D3.6532 with a negative sign, i.e. -3.6532
Explanation
4500 = 4.5 × 10^3, so log 4500 = log 4.5 + 3 = 0.6532 + 3 = 3.6532. The characteristic becomes 3 because the number has four digits before the decimal point. Option 2.6532 wrongly uses a characteristic of 2.
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.