化简[(1-lg5)^2+lg2乘lg5]/lg8

分类: 作业答案 • 2022-01-09 18:04:51

问题描述：

答

[(1-lg5)^2+lg2乘lg5]/lg8
=[(lg10-lg5)²+lg2*lg5]/lg2³
=(lg²2+lg2*lg5)/(3lg2)
=lg2(lg2+lg5)/(3lg2)
=lg2/(3lg2)
=1/3