exam Maths Puzzle Numerical Ability

Please help me solve this problem:
2^n / 1000 < 1000n^2

I am trying to use the log base 2 to solve but keep on getting stuck.
Please help

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exam Other Question
I am new to this site, would like to get a simplier definition of Quantative Comparisons and square roots. Problem:2x-6=2x+3x, x>0 y>0, 6+sq root of 3 over 2, sq root over 16+ sq r Solving combined inequalities
2 is less than y plus 6/2 is less than 5
AND
(4-y is less than 5 OR 4+y is less than 7)