求值lg2/(log50 10) +lg5/(log5 10)有助于回答者给出准确的答案
问题描述：
求值lg2/(log50 10) +lg5/(log5 10)
有助于回答者给出准确的答案
答
1
答
lg2/(log50 10) +lg5/(log5 10)=lg2/(lg10/lg50)+lg5/(lg10/lg5)=lg2*lg50+lg5*lg5=lg2*lg(25*2)+lg5*lg5=lg2(2lg5+lg2)+lg5*lg5=(lg5)^2+2lg5lg2+(lg2)^2=(lg5+lg2)^2=1