Предмет: Алгебра, автор: Klimshin1998

Решите уравнение: log3(3x-5)=log3(x-3)
СРОЧНО, ПОЖАЛУЙСТА.

Ответы

Автор ответа: EmiliedeRavin

27

$log_{3} (3x-5)=log_{3} (x-3) \\ 3x-5=x-3 \\ 2x=2 \\ x=1\notin \\ \\ ODZ: \\ 3x-5\ \textgreater \ 0 \\ 3x\ \textgreater \ 5 \\ x\ \textgreater \ 1\frac{2}{3} \\ \\ x-3\ \textgreater \ 0 \\ x\ \textgreater \ 3 \\ \\ \left \{ x\ \textgreater \ 1\frac{2}{3} \atop x\ \textgreater \ 3 \right.\\ x\in(3;+\infty) \\ Otvet: \phi$

EmiliedeRavin: Не знал сразу, как в латексе написать

EmiliedeRavin: что нет решений )

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