解方程:2log2 x-3logx 2+5=02log2 x-3logx 2 +5=0

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解方程:2log2 x-3logx 2+5=02log2 x-3logx 2 +5=0
解方程:2log2 x-3logx 2+5=0
2log2 x-3logx 2 +5=0

解方程:2log2 x-3logx 2+5=02log2 x-3logx 2 +5=0
2log2 x-3logx 2 +5=0
2log2 x-3/log2 x +5=0
令log2 x =y,则
2y-3/y+5=0
2y²+5y-3=0
(y+3)(2y-1)=0
y=-3 y=1/2
当y=-3时,log2 x=-3,∴x=1/8
当y=1/2时,log2 x=1/2,∴x=√2