Question

log7(2x-3)=log7(x-2)

Answer 1

$log_7(2x-3) = log_7(x-2)$

$(2x-3) = (x-2) \\ \\ 2x-x = 3-2 \\ \\ x = 1$

ОДЗ
$\left \{ {{2x-3 \ \textgreater \ 0} \atop {x- 2 \ \textgreater \ 0}} \right. \\ \\ \left \{ {{x \ \textgreater \ 1,5} \atop {x \ \textgreater \ 2}} \right. \Rightarrow x \ \textgreater \ 2$

Учитываем ОДЗ

Ответ: нет решения