设log_2(x)=t,则x=2^t,f(x)=f(t)=2(t/2-1)(t-1)=(t-2)(t-1),其中1/2<=t<=3.根据二次函数图像,maxf(t)=f(3)=2,minf(t)=f(3/2)=-1/4.希望对你有所帮助!满意请别忘了采纳哦!