log√2x>4
log4(3x-2)<3
log√6(x-4)+log√6(x+1)≤2

1log(√2)x>4x>(√2)^4x>4x∈(4;∞)2{3x-2>0⇒3x>2⇒x>2/3{3x-2<64⇒3x<66⇒x<22x∈(2/3;22)3{x-4>0⇒x>4{x+1>0⇒x>-1{log(√6)[(x-4)(x+1)]≤2⇒x²-3x-4≤6x²-3x-10≤0x1+x2=3 U x1*x2=-10⇒x1=-2 U x2=5-2≤x≤5 U x>4⇒x∈(4;5]