Answer :

Let N = 0.9876


Divide N by 104 to remove decimal, we get



Multiply and Divide N by 1000, we get





Thus, scientific notation 0.9876= 9.876 × 10–1


Consider,


log 0.9876 = log (9.876 × 10–1 )


= log 9.876 + log 10–1


(since, log (a×b) = log a + log b)


= log 9.876 + (–1)


(since, log 10n = n)


Thus characteristic of log 0.9876 is –1


From the table log 9.87=0.9943


Mean difference of 6 is 0.0003


Thus, Mantissa of log 0.9876 = 0.9943+0.0003=0.9946


Thus, Value of log 0.9876 = –1+0.9946 = ̅1.9946


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