关于对数运算（lg5）^2+lg2·lg50=?(log2 125+log4 25+log8 5)·(log125 8+log25 4+log5 2)=?

关于对数运算（lg5）^2+lg2·lg50=?(log2 125+log4 25+log8 5)·(log125 8+log25 4+log5 2)=?
关于对数运算
（lg5）^2+lg2·lg50=?
(log2 125+log4 25+log8 5)·(log125 8+log25 4+log5 2)=?

关于对数运算（lg5）^2+lg2·lg50=?(log2 125+log4 25+log8 5)·(log125 8+log25 4+log5 2)=?
（lg5）^2+lg2·lg50
=(lg5)^2+lg2*(lg5+1)
=lg5*(lg5+lg2)+lg2
=lg5*lg10+lg2
=lg5+lg2
=lg10
=1
(log2 125+log4 25+log8 5)·(log125 8+log25 4+log5 2)
=((lg125/lg2)+(lg25/lg4)+(lg5/lg8))((lg8/lg125)+(lg4/lg25)+lg2/lg5))
=(3(lg5/lg2)+(lg5/lg2)+(lg5/lg2)*(1/3))((lg2/lg5)+(lg2/lg5)+(lg2/lg5))
=(13/3)(lg5/lg2)*3(lg2/lg5)
=13