Предмет: Математика, автор: Колян005

Помогите решить уравнение, Пожалуйста!! log3(2х+3)=logз(6-x)

Ответы

Автор ответа: ученик1484

так как основания одинаковые то
2х+3=6-х
2х+х=6-3
3х=3
х=1

Автор ответа: Trover

$log_3(2x+3)=log_3(6-x)\O.D.3.:\begin{cases}2x+3 textgreater 0\6-x textgreater 0end{cases}Rightarrowbegin{cases}x textgreater -frac23\x textless 6end{cases}Rightarrow xinleft(-frac23;;6right)\2x+3=6-x\2x+x=6-3\3x=3\x=1$

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