Татьяна
Ответ
log2 (2-x) - log2 (2x+6) = log2 (-2x) - 1
ОДЗ: (2-x)>0 и (2x+6)>0 и (-2х) > 0 или
x-3 и x -3
ОДЗ
2 - x > 0
2x + 6 > 0
-2x > 0
----------------------------
x < 2
x > -3
x < 0
------------------
x E (-3; 0)
------------------------
log2[(2 - x) / (2x + 6)] = log2(-2x / 2)
(2 - x) / (2x + 6) = -x
2 - x = -2x^2 - 6x
2x^2 + 5x + 2 = 0
D = 25 - 16 = 3^2
x1 = (-5 - 3) / 4 = -2
x2 = (-5 + 3) / 4 = -0.5