Логорифм???????????????????????????????????????

[latex]\log_213+2=\log_2(7x-4),[/latex] ОДЗ: [latex]7x-4\ \textgreater \ 0,\\7x\ \textgreater \ 4,\\x\ \textgreater \ \frac{4}{7}.[/latex] [latex]\log_213-\log_2(7x-4)=-2,\\\\\log_2{\left(\frac{13}{7x-4}\right)}=-2,\\\\\log_2{\left(\frac{13}{7x-4}\right)}=\log_2{\frac{1}{4}},\\\\\frac{13}{7x-4}=\frac{1}{4},\\\\\frac{13}{7x-4}-\frac{1}{4}=0,\\\\\frac{13\cdot4-(7x-4)}{4(7x-4)}=0,\\\\\frac{52-7x+4}{4(7x-4)}=0,\\\\56-7x=0,\\\\7x=56,[/latex] [latex]x=8[/latex] — удовлетворяет ОДЗ. Ответ: [latex]x=8[/latex].