Engineering
Mathematics
Characteristic and Mantissa
Question
If A is the number of integers whose logarithms to the base 10 have characteristic 11 and B the number of integers, the logarithm of whose reciprocals to the base 10 have characteristic – 4, then the value of (log10A – log10B) is equal to
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Solution
A = 1012 – 1011 = 1011 × 9
B = 104 – 103 = 103 × 9