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Log Inequality Illation (Posted on 2015-03-17) Difficulty: 2 of 5
Will the inequality log M ≥ C*log 2 always hold, where M is a positive integer and C is the number of distinct prime numbers that divide M?
If so, prove it.
If not, give an example.

No Solution Yet Submitted by K Sengupta    
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Hints/Tips re: solution | Comment 3 of 4 |
(In reply to solution by Charlie)

The equality holds for M=1 as well.
  Posted by Ady TZIDON on 2015-03-17 11:35:21

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