Using logarithmic table find the value of the following.

log 329.5

Let N = 329.5

Divide N by 10 to remove decimal, we get

Multiply and Divide N by 1000, we get

Thus, scientific notation 329.5 = 3.295 × 10²

Consider,

log 329.5 = log (3.295 × 10² )

= log 3.295 + log 10²

(since, log (a×b) = log a + log b)

= log 3.295 + 2

(since, log 10ⁿ = n)

Thus characteristic of log 329.5 is 2

From the table log 3.29 = 0.5172

Mean difference of 5 is 0.0007

Thus, Mantissa of log 329.5 = 0.5172+0.0007 = 0.5179

Thus, Value of log 329.5 = 2+0.5178 = 2.5179