求值lg2/(log50 10) +lg5/(log5 10)有助于回答者给出准确的答案

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/26 11:49:18
求值lg2/(log5010)+lg5/(log510)有助于回答者给出准确的答案求值lg2/(log5010)+lg5/(log510)有助于回答者给出准确的答案求值lg2/(log5010)+lg

求值lg2/(log50 10) +lg5/(log5 10)有助于回答者给出准确的答案
求值lg2/(log50 10) +lg5/(log5 10)
有助于回答者给出准确的答案

求值lg2/(log50 10) +lg5/(log5 10)有助于回答者给出准确的答案
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

1