Discussion
Logarithms of numbers having same sequence of significant digits have same
Answer: A
A common logarithm splits into a whole-number characteristic, fixed by the position of the decimal point, and a fractional mantissa, fixed by the digits themselves.
\[ \log 3.42 = 0.5340, \quad \log 34.2 = 1.5340, \quad \log 342 = 2.5340 \]
The digits 342 give the same mantissa 0.5340 every time; only the characteristic changes. This is exactly why one page of log tables covers every power of ten.
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