Bardzo proszę o rozwiązanie zadań dodanych w załączniku, to bardzo pilne.!

1)[latex]log_{3}(x-5)>2[/latex] [latex]log_{3}(x-5)>log_{3}9[/latex] [latex]x-5>9[/latex] [latex]x>14[/latex] [latex]xin(14;+infty)[/latex] 2)[latex]B(frac{25}{9};-2)[/latex] [latex]y=log_{a}x[/latex] [latex]log_{a}frac{25}{9}=-2[/latex] [latex]a^{-2}=frac{25}{9}[/latex] [latex]a^{2}=frac{9}{25}[/latex] [latex]a=frac{3}{5}[/latex] 3)[latex]f(x)=log_{2}(x+4)[/latex] [latex]x+4>0[/latex] [latex]x>-4[/latex] [latex]xin(-4;+infty)[/latex] 4)[latex](frac{3}{5})^{5}cdot(frac{5}{3})^{4}=frac{3^{5}}{5^{5}}cdotfrac{5^{4}}{3^{4}}=frac{3}{5}[/latex] 5)[latex]f(x)=4^{x} g(x)=2^{x-1}[/latex] [latex]f(x)=g(x)[/latex] [latex]4^{x}=2^{x-1}[/latex] [latex]2^{2x}=frac{2^x}{2}/: 2^{x}[/latex] [latex]2^x=frac{1}{2}[/latex] [latex]x=-1[/latex]