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 10^{6} 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 10^{n} = 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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