Zadanie w załączniku. Bardzo pilne ! A ja nie potrafię :(

[latex](2^{sqrt{2}-sqrt{5}})^{sqrt{5}+sqrt{2}}=2^{(sqrt{2}-sqrt{5})(sqrt{5}+sqrt{2})}=2^{(sqrt{2}-sqrt{5})(sqrt{2}+sqrt{5})}=2^{(2-5)}=2^{-3}=frac{1}{8}[/latex]   [latex]2^{x+1}-3^{x}<2^{x-1}[/latex] [latex]2^{x+1}-2^{x-1}<3^{x}[/latex] [latex]2 cdot 2^{x}- frac{1}{2} cdot 2^{x}<3^{x}[/latex] [latex](2-frac{1}{2} ) cdot 2^{x}<3^{x}[/latex] [latex]frac{3}{2} cdot 2^{x}<3^{x} |/2^{x}[/latex] [latex]frac{3}{2} 1[/latex]