Order the following functions by order of growth; that is, if a function f is listed before a function g then f(n) = 0(g(n)). Group together functions that have the same order of growth, ie. f(n) = (g(n)). All logarithms are to the base 2, unless explicitly specified otherwise. Justify only the functions that you have grouped together (if any). You do not need to justify the rest of your ordering. log(n!), log(n0.5), , nl'og logn, 8v", 2(27-log n)), 2/2ogn+7), log(2Vn) 2", logn + log log n, e2018, log log n, (log n)logn, 2Vlog", n logn. Order the following functions by order of growth; that is, if a function f is listed before a function g then f(n) = 0(g(n)). Group together functions that have the same order of growth, ie. f(n) = (g(n)). All logarithms are to the base 2, unless explicitly specified otherwise. Justify only the functions that you have grouped together (if any). You do not need to justify the rest of your ordering. log(n!), log(n0.5), , nl'og logn, 8v", 2(27-log n)), 2/2ogn+7), log(2Vn) 2", logn + log log n, e2018, log log n, (log n)logn, 2Vlog", n logn