Log4(7x-8) меньше Log4 3+2

[latex]log_{4}(7x-8)\ \textless \ log_{4}3+2[/latex] ОДЗ:  [latex]7x-8\ \textgreater \ 0[/latex] [latex]7x\ \textgreater \ 8[/latex] [latex]x\ \textgreater \ 1 \frac{1}{7} [/latex] [latex]x[/latex] ∈ [latex](1 \frac{1}{7};+ [/latex] ∞ [latex])[/latex] [latex]log_{4}(7x-8)\ \textless \ log_{4}3+log_{4}16[/latex] [latex]log_{4}(7x-8)\ \textless \ log_{4}48[/latex] [latex]7x-8\ \textless \ 48[/latex] [latex]7x\ \textless \ 48+8[/latex] [latex]7x\ \textless \ 56[/latex] [latex]x\ \textless \ 8[/latex] -------------(1 1/7)---------------------------                        ///////////////////////////// -------------------------------------(8)-------- ///////////////////////////////////// Ответ: [latex](1 \frac{1}{7};8) [/latex]