1, \\ (\frac{1}{2})^{log_2(x^2-1)}>(\frac{1}{2})^0, \\ \frac{1}{2}<1, \\ log_2(x^2-1)<0, \\ x^2-1>0, \ (x-1)(x+1)>0, \ x\in(-\infty;-1)\cup(1;+\infty)\\ 2>1, \\ x^2-1<2^0, \\ x^2-1<1, \\ x^2-2<0, \\ (x-\sqrt2)(x+\sqrt2)<0, \\ <x" alt="(\frac{1}{2})^{log_2(x^2-1)}>1, \\ (\frac{1}{2})^{log_2(x^2-1)}>(\frac{1}{2})^0, \\ \frac{1}{2}<1, \\ log_2(x^2-1)<0, \\ x^2-1>0, \ (x-1)(x+1)>0, \ x\in(-\infty;-1)\cup(1;+\infty)\\ 2>1, \\ x^2-1<2^0, \\ x^2-1<1, \\ x^2-2<0, \\ (x-\sqrt2)(x+\sqrt2)<0, \\ <x" align="absmiddle" class="latex-formula">
