作业帮lg25+2/3lg8+lg5*lg20+lg²2
来源：学生作业帮助网 编辑：作业帮 时间：2024/07/27 02:41:36
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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
3