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Power 2 Sum Power 3 And 5 (Posted on 2008-10-04) Difficulty: 4 of 5
Determine all possible pair(s) of nonnegative integers (P, Q), that satisfy this equation:

                                         2P = 3Q + 5

See The Solution Submitted by K Sengupta    
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Some Thoughts re(2): almost proof NOT TRUE | Comment 5 of 11 |
(In reply to re: almost proof NOT TRUE by Ady TZIDON)

No, Dixi, Daniel is right.  Dividing one integer by another always yields a rational number.  The result can never be irrational.  There are no integers p,q such that p/q=ln(3)/ln(2).

Your "counterexample" shows that dividing one irrational by another can yield a rational number, but that does not refute Daniel's logic.

  Posted by Steve Herman on 2008-10-05 10:58:05

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