Question

log3(2x+8) больше или равно log3(x-2)

Answer 1

$log3(2x+8) geq log3(x-2)$

$frac{log(2x+8)}{log(3)}geqfrac{log(x-2)}{log(3)}$

$log(x+4)-log(x-2)geq-log(2)$

$log(2(x+4))geqlog(x-2)$

$x>2$

Answer 2

$log_3(2x+8)geq log_3(x-2)$

$begin{cases} 2x+8>0\x-2>0\log_3(2x+8)geq log_3(x-2) end{cases}$

$begin{cases} 2x>-8\x>2\2x+8geq x-2 end{cases}$

$begin{cases} x>-4\x>2\xgeq -10 end{cases}$

Ответ х>2

...............................................................................