设函数f(x)=log2X-logx4(0

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设函数f(x)=log2X-logx4(0
设函数f(x)=log2X-logx4(0

设函数f(x)=log2X-logx4(0
(1)
f(x)=log2X-logx4=log2X-log2(4)/log2X
=log2X-2/log2X
f(2的an次方)=2n
即log2(2的an次方)-2/log2(2的an次方)=an-2/an=2n
an^2-2n·an-2=0 (1)
此时2的an次方应该满足函数的定义域,即0