What is #log 50# to #3# decimal places?

1 Answer
Apr 2, 2017

Answer:

#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#