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Find the number of positive integers n that satisfy

 May 16, 2020
 #1
avatar+20906 
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2200 < n100 < (130n)50

 

Take the 50th root:     24 < n2 < 130n     --->     16 < n2 < 130n

 

For  16 < n2  to be true, n >= 5

For  n2 < 130n  to be true, n<= 129

 

So, I think that it will be true for all positive integers in the set:  { 5, 6, 7, ..., 128, 129 }

 May 16, 2020

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