(lg2)^2+lg20xlg5=谢谢了,

问题描述:

(lg2)^2+lg20xlg5=谢谢了,

(lg2)^2+lg20*lg5=(lg2)^2+lg(2*10)*lg5 =(lg2)^2+(lg2+lg10)*lg5 =(lg2)^2+(lg2+1)*lg5 ==(lg2)^2+lg2*lg5+lg5 =lg2*(lg2+lg5)+lg5 =lg2*lg10+lg5=lg2+lg5=lg(2*5)=lg10=1