Find an integer N such that 2^n > n^4 whenever n is greater than N.?

Answer 1

16

2^n = n^4 for n = 16

for any bigger n: 2^n > n^4

because exponential function (2^n) increases faster then the power function (n^4).

Hope this helps.

Answer 2

n=1000 works ( it is not the least such n though)