(1-lg5)^2+lg2*lg5/lg8= .

分类: 作业答案 • 2022-03-07 12:43:34

问题描述：

答

[(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