高一对数运算.
问题描述:
高一对数运算.
(1)lg25+(lg2)^2+lg2*lg5
(2)lg2*lg50+lg5*lg20-lg100*lg5*lg2
(3)(log2 5+log4 0.2)*(log5 2+log25 0.5)[2,4,5,25,是底数]
写写过程...
很急的,明早要交.不一定要做3题,做多少都行.快啦........
第一题打错了:lg25+(lg2)^2+lg2*lg50
答
(1)lg25+(lg2)^2+lg2*lg50=2lg5+(lg2)^2+lg2(lg5+lg10)=2lg5+(lg2)^2+lg2lg5+lg2=2lg5+lg2(lg2+lg5)+lg2=2lg5+lg2(lg2*5)+lg2=2lg5+2lg2=2lg(2*5)=2(2)lg2*lg50+lg5*lg20-lg100*lg5*lg2 =lg2*(lg5+lg10)+lg5*(lg2+lg...