Q. 4 E5.0( 1 Vote )
Using logar
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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