化简lg25+2/3lg8+lg5×lg20+(lg^2)2

来源：学生作业帮助网编辑：作业帮时间：2024/05/06 03:53:56

化简lg25+2/3lg8+lg5×lg20+(lg^2)2
化简lg25+2/3lg8+lg5×lg20+(lg^2)2

化简lg25+2/3lg8+lg5×lg20+(lg^2)2
lg25+2/3lg8+lg5×lg20+(lg^2)2
=lg25+lg4+lg5×lg20+lg²2
=2+lg5×(1+lg2)+lg²2
=2+lg5+lg2×(lg5+lg2）
=2+lg5+lg2
=2+lg10
=2+1
=3

lg25+2/3lg8+lg5×lg20+(lg^2)2
=2lg5+2lg2+lg5x(lg5+lg4)+(lg2)²
=2(lg5+lg2)+(lg5)²+2lg5*lg2+(lg2)²
=2+（lg2+lg5）²
=2+1²
=3