Answer :

Mantissa: Every logarithm consist of a fractional part called the mantissa.


Here, The mantissa of log 23750 is 0.3756


Let N = 0.00002375


Divide N by 108 to remove decimal, we get



Multiply and Divide N by 1000, we get





Thus, scientific notation 0.00002375 = 2.375 × 10–5


Consider,


log 0.00002375 = log (2.375 × 10–5 )


= log 2.375 + log 10–5


(since, log (a×b) = log a + log b)


= log 2.375 + (–5)


(since, log 10n = n)


Thus characteristic of log 0.00002375 is –5


Thus, Value of log 0.00002375 = –5 + 0.3756 = ̅5.3756


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