Using logarithmic table find the value of the following.

log 0.9876

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