In this problem it will be useful to recall the following properties of logarithms: log(xy)=log(x)+log(y) and log(x^a)=alog(x) .Find the least integer k such that f(n) is O(n^k) for each of the following functions a) f(x)=n log(4ⁿ)

b) f(n)= 1⁶+ 2⁶+...+n⁶

c) f(n)=log(n!)

d) f(n)=log(nⁿ)/n⁹+ 1