下面四个图案中，不能由基本图案旋转得到的是（　　）

已知函数f（x）=log₂（2x）•log₂（4x），且$\frac{1}{4}$≤x≤4．

（1）求f（$\sqrt{2}$）的值；

（2）若令t=log₂x，求实数t的取值范围；

（3）将y=f（x）表示成以t（t=log₂x）为自变量的函数，并由此求函数y=f（x）的最小值与最大值及与之对应的x的值．

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