What is log 50 to 3 decimal places?

1 Answer
Apr 2, 2017

log 50 ~~ 1.699

Explanation:

Note that 50 = 100/2

So:

log 50 = log (100/2) = log 100 - log 2 ~~ 2-0.301 = 1.699

Note that a very good approximation for log 2 which is worth remembering is 0.30103. The actual value of log 2 is closer to 0.30102999566398, so you actually get 8 significant figure accuracy for the sake of remembering 5 digits.

Using log 2 ~~ 0.30103 we get:

log 50 ~~ 2-0.30103 = 1.69897