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Take five (Posted on 2023-05-06) Difficulty: 1 of 5
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PROVE THAT log105 is irrational

No Solution Yet Submitted by Ady TZIDON    
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Some Thoughts re: Puzzle Solution (Good News and Bad News) | Comment 2 of 3 |
(In reply to Puzzle Solution by K Sengupta)

Good News:


The proof given by K Sengupta can be used to prove that Log_10(x) is irrational for any x that is not a multiple of 10.

Bad News:

The "proof" given by K Sengupta can be misused to prove that Log_10(1) is irrational, which it definitely is not.  The problem is that 10^a does not always end in 0 for an integer a.  It always ends in 0 or 1 if a is non-negative.

  Posted by Steve Herman on 2023-05-06 13:37:23
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