Помогите lg(3x-1)-lg(x+5)=lg2

[latex]lg(3x-1)-lg(x+5)=lg2[/latex] ОДЗ: [latex] \left \{ {{3x-1\ \textgreater \ 0} \atop {x+5\ \textgreater \ 0}} \right. ; \left \{ {{x\ \textgreater \ \frac{1}{3} } \atop {x\ \textgreater \ -5}} \right.; x\ \textgreater \ \frac{1}{3}[/latex] [latex]lg \frac{3x-1}{x+5} =lg2[/latex] [latex] \frac{3x-1}{x+5}=2[/latex] [latex]3x-1=2(x+5)[/latex] [latex]3x-1=2x+10[/latex] [latex]x=11[/latex]

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