[(1-lg5)²+lg2*lg5]/lg8
=(1-2lg5+lg²5+lg2*lg5)/lg8
=[1-2lg5+lg5(lg2+lg5)]/lg8
=(1-2lg5+lg5)/lg2³
=(1-lg5)/3lg2
=lg2/3lg2
=1/3
(1-lg5)^2+lg2*lg5/lg8= .
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