6. Ordering by asymptotic growth rates. [15 Points] Rank the following functions by order of growth; that is find an arrangement g1,g2,.,g30 of the functions satisfying g1=(g2),g2=(g3),,g29=(g30). Partition your list into equivalence classes such that functions f(n) and g(n) are in the same class if and only if f(n)=(g(n))