perplexus.info :: Just Math : Log Inequality Illation

Log Inequality Illation (Posted on 2015-03-17)

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.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

Refer to the solution submitted by Charlie in this location. and, the rejoinder by Ady TZIDON in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re(2): solution	Charlie	2015-03-18 07:52:22
re: solution	Ady TZIDON	2015-03-17 11:35:21
solution	Charlie	2015-03-17 09:56:07
solution	Ady TZIDON	2015-03-17 09:07:59

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