Q. 4 D5.0( 1 Vote )

Using logarithmic table find the value of the following.

log 0.001364

Answer :

Let N = 0.001364


Divide N by 106 to remove decimal, we get



Multiply and Divide N by 1000, we get





Thus, scientific notation 0.001364 = 1.364 × 10–3


Consider,


log 0.001364 = log (1.364 × 10–3 )


= log 1.364 + log 10–3


(since, log (a×b) = log a + log b)


= log 1.364 + (–3)


(since, log 10n = n)


Thus characteristic of log 1.364 is –3


From the table log 1.36 = 0.1335


Mean difference of 4 is 0.0013


Thus, Mantissa of log 0.001364 = 0.1335+0.0013 = 0.1348


Thus, Value of log 0.001364 = –3 + 0.1348 = ̅3.1348


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