Discussion
Characteristic of log 1563.4 is
Answer: B
For a number of one or more digits before the decimal point, the characteristic is one less than that count of digits:
\[ \text{characteristic} \;=\; (\text{digits before the point}) - 1 \]
1563.4 has four digits before the point, so
\[ \text{characteristic} \;=\; 4 - 1 \;=\; 3 \]
This follows from \( 1563.4 = 1.5634 \times 10^{3} \), giving \( \log 1563.4 = 3 + \log 1.5634 \). The 3 is the characteristic and the \( \log 1.5634 \) part, always between 0 and 1, is the mantissa.
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