Quantitative Aptitude – Number System – The smallest integer n for which

Slot -2 – Quantitative Aptitude – Number System – The smallest integer n for which

The smallest integer n for which 4^n > 17^19 holds, is closest to?

a) 33
b) 35
c) 37
d) 39

Answer: d) 39

Solution:
Given , 4^n > 17^19
Or  16^(n/2) > 17^19
Now from the given options, the only possible value of n is 39 as for other
values n/2 will be less than 19 and 16 < 17.
Correct answer d) 39

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