6) 1
Log(1/7) Log(4) (6x - 2) > 0
ОДЗ 6x - 2 > 0
6x >2
x > 1/3
Log(1/7) Log(4) (6x - 2) > Log(1/7) 1
Log(4) (6x - 2) < 1
Log(4) (6x - 2) < Log(4) 4
6x - 2 < 4
6x < 6
x < 1
x Э (1/3 ; 1)
7)2
Log(3) (x + 1) + Log(v3) (x + 1) + Log(1/3) (x + 1) < 6
ОДЗ x + 1 > 0
x > -1
Log(3) (x + 1) - 2Log(3) (x + 1) - Log(3) (x + 1) < Log(3) 729
Log(3) (x + 1) + Log(3) (x + 1)^2 - Log(3) (x + 1) < Log(3) 729<br>(x + 1)(x + 1)^2/(x + 1) < 729
(x + 1)^2 < 729
x^2 + 2x + 1 - 729 < 0
x^2 + 2x - 728 = 0
D = 2^2 + 4*728 = 2916
x1 = (-2 + 54)/2 = 52/2 = 26
x2 = (-2 - 54)/2 = -56/2 = -28
___-28_____-1/////////////26/////////////
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х Э (-1; 26)