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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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re(2): solution Comment 4 of 4 |
(In reply to re: solution by Ady TZIDON)

I see that now that you point it out. The equality holds for M = 2^n for only n= 0 or 1; no other values of n. For every other M, including 2^n for larger values of n, it is the inequality (greater than).
  Posted by Charlie on 2015-03-18 07:52:22

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