How can I order them correctly, and how do I know if any are bigTheta of each other? Showing work would be much appreciated!

Problem 1 Order the following list of functions by the big-Oh notation. Group together (for example, by underlining) those functions that are big-Theta of one another. 4n nalogn 22" n3 [vn] 5n no.o 4logn Vlogn 1 2n nlogen logan 2logn 4n3/2 3n0.5 [2nlog-n] loglogn onlogn 2100 Hint: When in doubt about two functions f(n) and g(n), consider log f(n) and log g(n) or 2f(n) and 29(n)