2)2cos(x/2 -π/6)=√3
cos(x/2 -π/6)=√3/2
x/2 -π/6=π/6+2πn⇒x/2=π/6+π/6+2πn⇒x/2=π/3+2πn⇒x=2π/3+4πn
x/2 =-π/6+π/6+2πn⇒x/2=2πn⇒x=4πn
3)
ОДХ чЮ0б нЮ0БнЮч
lg(y-x)=lg2⇒y-x=2⇒y=x+2
log(2)x -4= log(2)3 -log(2)y
log(2)x+log(2)y=log(2)16+log(2)3
log(2)x*y=log(2)16*3
xy=48
x(x+2)-48=0
x²+2x-48=0
x1+x2=-2 U x1*x2=-48
x1=-8∈ОДЗ
x2=6⇒y=2+6=8