Rank the following functions from lowest asymptotic order to highest. List any two or

more that are of the same order on the same line.

$2n^2+10n+5$

$3nlo{g}_{2}n$

$4n+10$

$3\sqrt[\phantom{2}]{n}$

$2^n$

$n^2+6n$

$2lo{g}_{2}n$

$2n^3+n^2+6$

$4^n$

$lo{g}_{4}n$