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Fortieth logs (Posted on 2011-05-31) Difficulty: 2 of 5
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.

See The Solution Submitted by Jer    
Rating: 4.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Who is right for 7? | Comment 7 of 15 |
(In reply to Who is right for 7? by Jer)

Both are approximations, so neither is exactly right!

log(7) = 0.845  ;  33/40 = 0.825  ;  34/40 = 0.850

So, 33/40 is a tad closer.

Take your pick!    :-)


  Posted by JayDeeKay on 2011-06-01 18:41:41
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