(lg2)²+lg2·lg50+lg25=

分类: 作业答案 • 2021-12-19 17:13:28

问题描述：

答

(lg2) 2;+lg2lg50+lg25 =(lg2) 2;+lg2×lg(5 2;×2)+lg5 2; =(lg2) 2;+lg2(2lg5+lg2)+2lg5 =(lg2) 2;+(lg2) 2;+2lg2lg

答

(lg2)²+lg2·lg50+lg25=
=(lg2)²+lg2·（1+lg5）+2lg5
=(lg2)²+lg2lg5+lg2+2lg5
=lg2(lg2+lg5)+lg2+2lg5
=lg2*lg10+lg2+2lg5
=lg2+lg2+2lg5
=2(lg2+lg5)
=2lg10
=2