prove log base 2 of 3 is irrational

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- June 30th 2010, 05:59 PMteramarieslog proof
prove log base 2 of 3 is irrational

- June 30th 2010, 07:18 PMchiph588@
- June 30th 2010, 07:21 PMmr fantastic
- July 1st 2010, 06:42 AMSoroban

Avariation of previous proofs . . .*slight*

Assume where and are coprime positive integers.

Then: .

Since is a positive integer, is.*even*

Since is a positive integer, is.*odd*

Hence: .

. .*Q.E.D.*