计算:(lg2)2+3lg5+lg5(1+lg2)+lg8+log2(5)log5(4)

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/17 20:21:37
计算:(lg2)2+3lg5+lg5(1+lg2)+lg8+log2(5)log5(4)
x){nu~OGNqN6kjvN~P=@&0ѴI*ҧD~ ?tO?iR5Aj 8c) 44ѴAC4FF(ڐ5thhbn}  P Ycb# ef_\g *r

计算:(lg2)2+3lg5+lg5(1+lg2)+lg8+log2(5)log5(4)
计算:(lg2)2+3lg5+lg5(1+lg2)+lg8+log2(5)log5(4)

计算:(lg2)2+3lg5+lg5(1+lg2)+lg8+log2(5)log5(4)
原式
= (lg2)^2+3lg5+(lg5+lg5lg2)+lg2^3+log2(5)log5(2^2)
= (lg2)^2+lg5lg2+(lg5+3lg5)+3lg2+2log2(5)log5(2)
= (lg2+lg5)lg2+4lg5+3lg2+2(lg5/lg2)(lg2/lg5)
= lg2+3lg2+4lg5+2
= 4(lg2+lg5)+2
= 4+2
= 6