lg25+2/3lg8+lg5*lg20+(lg2)^2=?
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/27 03:37:48
![lg25+2/3lg8+lg5*lg20+(lg2)^2=?](/uploads/image/z/2559035-11-5.jpg?t=lg25%2B2%2F3lg8%2Blg5%2Alg20%2B%EF%BC%88lg2%EF%BC%89%5E2%3D%3F)
lg25+2/3lg8+lg5*lg20+(lg2)^2=?
lg25+2/3lg8+lg5*lg20+(lg2)^2=?
lg25+2/3lg8+lg5*lg20+(lg2)^2=?
原式=2lg5+2lg2 +lg5(lg5+2lg2)+(lg2)^2
=2(lg5+lg2)+(lg2)^2+2lg2lg5+(lg5)^2
=2lg10+[lg2+lg5]^2
=2+1^2
=2+1
=3
=2lg5+2lg2+lg5*(1+lg2)+(lg2)^2
=2(lg5+lg2)+lg5+lg5*lg2+(lg2)^2
=2+lg5+lg2*(lg5+lg2)
=2+lg5+lg2
=2+1
=3