Using logarithmic table find the value of the following.

log 23.17

Let N = 23.17

Divide N by 100 to remove decimal, we get

Multiply and Divide N by 1000, we get

Thus, scientific notation 23.17 = 2.317 × 10¹

Consider,

log 23.17 = log (2.317 × 10¹ )

= log 2.317 + log 10¹

(since, log (a×b) = log a + log b)

= log 2.317 + 1

(since, log 10ⁿ = n)

Thus characteristic of log 23.17 is 1

From the table log 2.31 = 0.3636

Mean difference of 7 is 0.0013

Thus, Mantissa of log 23.17 = 0.3636 + 0.0013 = 0.3649

Thus, Value of log 23.17 = 1 + 0.3649 = 1.3649