3*9^x+11*3^x<4 Решите

3*9^2+11*3^x<4 3(3^2)^x+11*3^x<4 3(3^x)^2+11*3^x<4 3t^2+11t<4 3t^2+12t-t-4<0 3t(t+4)-t-4<0 (3t-1)(t+4)<0 $\left \{ {{3t-1\ \textless \ 0} \atop {t+4\ \textgreater \ 0}} \right. \\ \left \{ {{3t-1\ \textgreater \ 0} \atop {t+4\ \textless \ 0}} \right. \\ \left \{ {{t\ \textless \ \frac{1}{3} } \atop {t\ \textgreater \ -4}} \right. \\ \left \{ {{t\ \textgreater \ \frac{1}{3} } \atop {t\ \textless \ -4}} \right.$
t∈(-4; $\frac{1}{3 }$ )
t∈∅
t∈(-4; $\frac{1}{3}$ )
3^x∈(-4;1/3)
$\left \{ {{3^x\ \textgreater \ -4} \atop {3^x\ \textless \ \frac{1}{3} }} \right.$
$\left \{ {{x /prenadlegit/R} \atop {x\ \textless \ -1}} \right.$
x∈(-∞;-1)