Arrange the following functions into increasing order; that is$,()$ should come before

$()$ in your list if and only if $()$ is $(()).$

$6+$

$0$

$,16$lg $$

$,$ lg$()$

$$

$,2$

$3$ lg $$

$,2$

$3$

$,$ log$(!),$

$1$

$3$

$(3)$

$3$

$,$ lg$(2$

lg lg $$

$),3$

$3$ lg $+$

$2$

$3$

$$

$,$

$($

$2+3)!,(1+2+3++),2$

lg$\backslash$times $(2)$

$0$

$.$