求函数f(x)=-(log(0.5)x)²-log(0.25)x+5在[2,4]范围内的最值,并求出相应的x的值

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求函数f(x)=-(log(0.5)x)²-log(0.25)x+5在[2,4]范围内的最值,并求出相应的x的值

求函数f(x)=-(log(0.5)x)²-log(0.25)x+5在[2,4]范围内的最值,并求出相应的x的值
求函数f(x)=-(log(0.5)x)²-log(0.25)x+5在[2,4]范围内的最值,并求出相应的x的值

求函数f(x)=-(log(0.5)x)²-log(0.25)x+5在[2,4]范围内的最值,并求出相应的x的值
f(x)=-(log(0.5)x)²-0.5*log(0.5)x+5.换元,令t=log(0.5)x,t 属于【-2,-1】,f(t)=-(t)²-0.5*t+5,现在求方程最值.求出t的值,在根据t=log(0.5)x,求出x的值.