求函数y=log2（x/4）×log4（x/2）(2≤x≤4)的值域

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y=log2（x/4）×log4（x/2）
=[log2(x)-2]*[0.5log2(x)-0.5]
=0.5[log2(x)]²-1.5log2(x)+1
=0.5[log2(x)-1.5]²-0.125
2≤x≤41≤log2(x)≤2
0≤[log2(x)-1.5]²≤0.25
-0.125≤y≤0
函数y=log2（x/4）×log4（x/2）(2≤x≤4)的值域是[-0.125,0]
======以下答案可供参考======
供参考答案1:
log2(3/2)