Решить 9^х-6×3^х-1<_3

[latex]9^x-6*3^{x-1} extless 3\ 3^{2x}-2*3^x extless 3\ t=3^x\ left { {{t^2-2t-3 extless 0} atop {t extgreater 0}} ight. \ left { {{tin(-infty;-1)cup(3;infty)} atop {t extgreater 0}} ight. \ 3 extless t extless infty \ left { {{3^x extgreater 3} atop {3^x extless infty}} ight. \ left { {{x extgreater 1} atop {x extless infty}} ight. \ xin (1;infty)\ [/latex]