来源:学生作业帮 编辑:搜狗做题网作业帮 分类:数学作业 时间:2024/08/19 13:19:07
急
计算(lg5)的平方+(lg2)乘以(lg50)
(lg5)^2+(lg2)*(lg50)
=(lg5)^2+(lg2)*[lg(2*5^2)]
=(lg5)^2+(lg2)*[lg2+(lg5)^2]
=(lg5)^2+(lg2)*[lg2+2*(lg5)]
=(lg5)^2+(lg2)^2+2*(lg2)*(lg5)
=[(lg5)+(lg2)]^2
=(lg10)^2
=1^2
=1