The smallest integer n for which $$4^{n} 17^{19}$$ holds, is closest to

Question

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

Accepted Answer

39. 4^{n} &gt; 17^{19} ⇒ \Rightarrow ⇒ 16^{n/2} &gt; 17^{19} Therefore, we can say that n/2 > 19 n > 38 Hence, option D is the correct answer.

The smallest integer n for which 4^{n} &gt; 17^{19} holds, is closest to