Question

Given that log 2 = 0.3010 and log 3 = 0.4771, find log √30 without using a calculator.

Answer 1

0.73855.

Explanation:

log √30

log 30^1/2

= 1/2 log 30

30 = 2 * 3 * 5

= 3 * 10

So, log 30

= log (3*10) = log 3 + log 10

= 0.4771 + 1

= 1.4771

and log √30

= 1/2 log 30

= 1/2 * 1.4771

= 0.73855