Question

2^n>n for every natural number n

Answer 1

Yes, 2^n>n is true for every natural value of n

let take some example

n=1; 2¹=2>1
n=4; 2⁴=16>4
n=22; 2²²=4194304>22

so, it is clear from these examples that 2^n>n is true for every natural value of n

Answer 2

Hi friend,

Let's prove it by taking examples,
Take=1,2,3,4......

2ⁿ>n
n=1=2¹=2>1
n=2=2²=4>2
n=3=2³=8>3
n=4=2⁴=16>4

So,for every natural number,n
It is clear that 2ⁿ>n

Hope it helps