Solve log2(log0.5(x))<0\log_2(\log_{0.5}(x)) < 0log2(log0.5(x))<0.
x>0.5x > 0.5x>0.5
0.5<x<10.5 < x < 10.5<x<1
x<0.5x < 0.5x<0.5
x>1x > 1x>1