$\frac{log(n)}{n},2^n,{1000}^{-n},1,n+log(n),n,n^2,n^{log(n)},2^{\sqrt[\phantom{2}]{n}},{1\mathrm{.}000001}^n,log(n)$

$,n^{1000},2^{2^n},\frac{n}{log(n)},(log(n){)}^n,\frac{1+n}{n},2^{2log(n)+3},log(n^{100}+3n^{50}+2n^{20}+5)$

assume base $2$ for all logs$,$ is the ordering i have written in the picture correct if not please show correct. use $$ or $$ and sort from slowest growth to fastest

For example $($For example, for the list of functions log$($n$),$ n$^2,$ n$2^+1$ and $2^$n we write:

log$($n$)$ n $$ n$2^$ n$^2+12^$n