It turns out that the common logarithms of each of the numbers from 2 through 9 can be very well approximated by rational numbers of the form n/40.

Derive each of the numerators with no calculation aids beyond pencil and paper.

log(2)「12/40

log(3)「19/40

log(4)「24/40

log(5)「28/40

log(6)「31/40

log(7)「34/40

log(8)「36/40

log(9)「38/40

 

Posted by Math Man on 2011-06-01 19:05:31