ОДЗ х>0
x∈(0;∞)
log(3)(x/9)²*(-log(3)(x/9))≤3log(3)(x/9)
-2log²(3)(x/9)-3log(3)(x/9)≤0
2log²(3)(x/9)+3log(3)(x/9)≥0
log(3)(x/9)=t
2t²+3t≥0
t(2t+3)≥0
t=0, t=-1,5
+ _ +
-------[-1,5]------------------[0]-----------------
t≤-1,5⇒log(3)(x/9)≤-1,5⇒(x/9)≤1/3√3⇒x≤√3
t≥0⇒log(3)(x/9)≥0⇒x/9≥1⇒x≥9
x∈(0;√3] U [9;∞)