解不等式[log(2)(x)]²-log(2)(x²)-2>0

问题描述:

解不等式[log(2)(x)]²-log(2)(x²)-2>0

设log(2)(x)=a,则原不等式可化为:
a^2-2a-2>0
(a-2)(a+1)>0
a>2或a2时
x>2^2=4;
(2)当log(2)(x)=a