Log1/3 log2(x^2) больше 0 пжлст

[latex]log_{ \frac{1}{3}} log_2(x^2)\ \textgreater \ 0[/latex] ОДЗ: [latex] \left \{ {{ x^{2} \ \textgreater \ 0} \atop {log_2x^2\ \textgreater \ 0}} \right. [/latex] [latex] \left \{ {{ x \neq 0} \atop {log_2x^2\ \textgreater \ log_21}} \right. [/latex] [latex] \left \{ {{ x \neq 0} \atop {x^2\ \textgreater \ 1}} \right. [/latex] [latex] \left \{ {{ x \neq 0} \atop {x^2-1\ \textgreater \ 0}} \right. [/latex] [latex] \left \{ {{ x \neq 0} \atop {(x-1)(x+1)\ \textgreater \ 0}} \right. [/latex] [latex]x[/latex] ∈ [latex](-[/latex] ∞ [latex];-1)[/latex] ∪ [latex](1;+[/latex] ∞ [latex])[/latex] [latex]log_{ \frac{1}{3}} log_2(x^2)\ \textgreater \ log_{ \frac{1}{3}} 1[/latex] [latex] log_2(x^2)\ \ \textless \ 1[/latex] [latex] log_2(x^2)\ \ \textless \ log_22[/latex] [latex]x^2\ \ \textless \ 2[/latex] [latex]x^2-2\ \textless \ 0[/latex] [latex](x- \sqrt{2} )(x+ \sqrt{2} )\ \textless \ 0[/latex] ----+----(-√2)------_-------(√2)------+-------                  ///////////////////// -----------------(-1)-----(1)-------------------- ////////////////////              /////////////////////// Ответ: [latex](- \sqrt{2} ;-1)[/latex] ∪ [latex](1; \sqrt{2} )[/latex]