Using logarithmic table find the value of the following.

log 6576

Let N = 6576

Multiply and Divide N by 1000, we get

Thus, scientific notation 6576= 6.576 × 10³

Consider,

log 6576 = log (6.576 × 10³ )

= log 6.576 + log 10³

(since, log (a×b) = log a + log b)

= log 6.576 + 3

(since, log 10ⁿ = n)

Thus characteristic of log 6576 is 3

From the table log 6.57=0.8176

Mean difference of 6 is 0.0004

Thus, Mantissa of log 6576 = 0.8176 +0.0004=0.8180

Thus, Value of log 6576 = 3+0.8180 = 3.8180