lg25+2/3lg8+lg5*lg20+lg²2

来源：学生作业帮助网编辑：作业帮时间：2024/04/20 18:13:00

lg25+2/3lg8+lg5*lg20+lg²2
lg25+2/3lg8+lg5*lg20+lg²2

lg25+2/3lg8+lg5*lg20+lg²2
原式=2lg5+2lg2+2lg2*lg5+lg²5+lg²2
=(lg2+lg5)²+2(lg2+lg5)
=1g²10+2lg10
=1+2
=3

=2lg5+2lg2+lg5*(lg5+2lg2)+lg²2
=2*(lg5+lg2)+lg²5+2*lg5*lg2+lg²2
2+(lg5+lg2)²=3