Proszę o pomoc.Jak rozwiązać takie nierówności wykładnicze : Przykłady w załączniku

[latex]4^{x-3}+2 extgreater 3cdot 2^{x-3} \ \ (2^{x-3})^2+2 extgreater 3 cdot 2^{x-3} \ \ t=2^{x-3} qquad t extgreater 0: \ \ t^2+2 extgreater 3t \ t^2-3t+2 extgreater 0 \ t^2-2t-t+2 extgreater 0 \ t(t-2)-(t-2) extgreater 0 \ (t-1)(t-2) extgreater 0 \ t in (-infty, 1) cup (2,+infty) wedge t extgreater 0 iff 0 extless t extless 1 wedge t extgreater 2\ \ 0 extless 2^{x-3} extless 1 wedge 2^{x-3} extgreater 2 \ \ 2^{x-3} extless 2^0 wedge 2^{x-3} extgreater 2^1 \ \ x-3 extless 0 wedge x-3 extgreater 1 \ x extless 3 wedge x extgreater 4[/latex] [latex]xin (-infty, 3)cup(4,+infty)[/latex] ZADANIE 2 [latex]36^{x-2}+6 extgreater 7 cdot 6^{x-2} \ \ (6^{x-2})^2+6 extgreater 7 cdot 6^{x-2} \ \ t=6^{x-2} t extgreater 0: \ \ t^2+6 extgreater 7t \ t^2-7t+6 extgreater 0 \ t^2-6t-t+6 extgreater 0 \ t(t-6)-(t-6) extgreater 0 \ (t-1)(t-6) extgreater 0 \ tin (-infty, 1)cup(6,+infty) wedge t extgreater 0 iff 0 extless t extless 1 wedge t extgreater 6 \ \ 0 extless 6^{x-2} extless 1 wedge 6^{x-2} extgreater 6 \ 6^{x-2} extless 6^0 wedge 6^{x-2} extgreater 6^1 \ x-2 extless 0 wedge x-2 extgreater 1 \ x extless 2 wedge x extgreater 3 \ xin(-infty, 2)cup(3,infty)[/latex]