This a homework question from Udi Manber's book. Any hint would be nice :)
I must show that:
$n(\log_3(n))^5 = O(n^{1.2})$
I tried using Theorem 3.1 of book:
$f(n)^c = O(a^{f(n)})$ (for $c > 0$, $a > 1$)
Substituing:
$(\log_3(n))^5 = O(3^{\log_3(n)}) = O(n) $
but $n(\log_3(n))^5 = O(n\cdot n) = O(n^2) \ne O(n^{1.2})$
Thank you for any help.