Question

The smallest integer n for which 4ⁿ > 17¹⁹ holds, is closest to
1. 39
2. 35
3. 37
4. 33

Answer 1

Correct Answer - Option 1 : 39

Calculation:

According to Question, 4ⁿ > 17¹⁹

⇒ (16^1/2)ⁿ > 17¹⁹
⇒ 16^n/2  > 17¹⁹
Therefore, we can say that n/2 > 19
⇒ n > 38

As we have been asked about the smallest integer value of n

∴ n = 39