Answer :

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


Here, The mantissa of log 23750 is 0.3756


Let N = 23750000


Multiply and Divide N by 107, we get





Thus, scientific notation 23750000 = 2.375 × 107


Consider,


log 23750000 = log (2.375 × 107 )


= log 2.375 + log 107


(since, log (a×b) = log a + log b)


= log 2.375 + 7


(since, log 10n = n)


Thus characteristic of log 23750000 is 7


Thus, Value of log 23750000 = 7 + 0.3756 = 7.3756


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