解方程3log(2)(x)+2log(x)(2)-5=0

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解方程3log(2)(x)+2log(x)(2)-5=0
解方程3log(2)(x)+2log(x)(2)-5=0

解方程3log(2)(x)+2log(x)(2)-5=0
3lgx/lg2+2lg2/lgx-5=0
令a=lgx/lg2
3a+2/a-5=0
3a²-5a+2=0
(3a-2)(a-1)=0
a=2/3,a=1
lgx/lg2=log2(x)=2/3
x=2^(2/3)
lgx/lg2=1
x=2
所以x=2^(2/3),x=2