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If the logarithm of a number is - 3.153, what are characteristic and mantissa?
Answer & Solution
Correct Answer:
Option
A
$$\eqalign{
& {\text{let }}\log x = - 3.153 \cr
& {\text{then, }}\log x = - 3.153 \cr
& = - 3 + \left( { - 0.153} \right) \cr
& = \left( { - 3 - 1} \right) + \left( {1 - 0.153} \right) \cr
& = - 4 + 0.847 = \overline 4 .847 \cr
& {\text{Hence,}} \cr
& {\text{characteristic = - 4, mantissa = 0}}{\text{.847 }} \cr} $$
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