求(lg2)^2+lg2*lg5+(log3 5)/(log3 10)的值

问题描述:

求(lg2)^2+lg2*lg5+(log3 5)/(log3 10)的值
注:3是底数
这块的知识都快忘光了.

(lg2)^2+lg2*lg5+(log3 5)/(log3 10)
= lg2(lg2+lg5)+lg5 // loga n/log a m= logm n
=lg2*lg(2*5)+lg5
=lg2+lg5
=lg10
=1