[latex]log_{ \frac{10}{3} } (1-1.4x)\ \textless \ -1[/latex]

[latex]log_{ \frac{10}{3} } (1-1.4x)\ \textless \ -1[/latex] ОДЗ: [latex]1-1.4x\ \textgreater \ 0[/latex] [latex]-1.4x\ \textgreater \ -1[/latex] [latex]1.4x\ \textless \ 1[/latex] [latex]x\ \textless \ \frac{5}{7} [/latex] [latex]log_{ \frac{10}{3} } (1-1.4x)\ \textless \ log_{ \frac{10}{3} }0.3[/latex] [latex]1-1.4x\ \textless \ 0.3[/latex] [latex]-1.4x\ \textless \ 0.3-1[/latex] [latex]-1.4x\ \textless \ -0.7[/latex] [latex]x\ \textgreater \ 0.5[/latex] -------------(0.5)----------------                     /////////////////// -----------------------(5/7)-------- //////////////////////////// Ответ: [latex](0.5; \frac{5}{7} )[/latex]