Log3(2x+8) больше или равно log3(x-2)

[latex]log3(2x+8) geq log3(x-2)[/latex] [latex]frac{log(2x+8)}{log(3)}geqfrac{log(x-2)}{log(3)}[/latex] [latex]log(x+4)-log(x-2)geq-log(2)[/latex] [latex]log(2(x+4))geqlog(x-2)[/latex] [latex]x>2[/latex]

[latex]log_3(2x+8)geq log_3(x-2)[/latex] [latex]egin{cases} 2x+8>0\x-2>0\log_3(2x+8)geq log_3(x-2) end{cases} [/latex] [latex]egin{cases} 2x>-8\x>2\2x+8geq x-2 end{cases}[/latex] [latex]egin{cases} x>-4\x>2\xgeq -10 end{cases} [/latex] Ответ х>2 ...............................................................................