Решите уравнение: [latex] log_{2} ^{2} x + log _{2} \frac{2}{x} = 3[/latex]

log²2 x +log2 2/x=3 (log2 x)²+log2 2 - log2 x =3 (log2 x)² - log2 x = 3 -1 log2 x = z z²-z-2=0 (z-2)(z+1)=0 a) z-2=0, z=2, log2 x =2, x=2², x=4 b)z+1=0, z=-1, log2 x = -1, x= 1/2