
已知2^x-3=1/2,求x^2-x^-2/x+x^-1的值
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2^(x-3)=1/2,
2^(x-3)=2^(-1)
x-3=-1
x=2
x^2-x^(-2)/x+x^(-1)
=(x+1/x)(x-1/x)/(x+1/x)
=x-1/x
=2-1/2
=3/2
2^(x-3)=2^(-1)
x-3=-1
x=2
x^2-x^(-2)/x+x^(-1)
=(x+1/x)(x-1/x)/(x+1/x)
=x-1/x
=2-1/2
=3/2
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