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.

(In reply to re(2): Who is right for 7?....DETAILS by Gamer)

1,By hand- aided by excel to get the powers evaluated;

2, You can get log7, provided you know log3.

3. There is a multitude of combinations, too long to list- I have just summed up the guidelines.

Posted by Ady TZIDON on 2011-06-02 11:43:53