mwbr.net
当前位置:首页 >> lg2lg50 >>

lg2lg50

(lg2)²+lg2lg50+lg25 =(lg2)²+lg2×lg(5²×2)+lg5² =(lg2)²+lg2(2lg5+lg2)+2lg5 =(lg2)²+(lg2)²+2lg2lg5+2lg5 =2lg2lg2+2lg2lg5+2lg5 =2lg2(lg2+lg5)+2lg5 =2lg2×lg10+2lg5 =2lg2+2lg5 =2(lg2+lg5) =2

由题,lg5lg20-lg2lg50-lg25=lg5(2lg2+lg5)-lg2(2lg5+lg2)-2lg5=lg25-lg22-2lg5=lg5-lg2-2lg5=-(lg2+lg5)=-1故答案为-1

等于2

lg²5+lg2lg50 =lg²5+lg2(1+lg5) =lg²5+lg2+lg2lg5 =lg5(lg5+lg2)+lg2 =lg5+lg2 =1

(lg2)^2+lg2lg50+lg25=(lg2)^2+lg2(lg2*25)+lg25=(lg2)^2+lg2(lg2+lg25)+lg25=2(lg2)^2+lg2lg25+lg25=2(lg2)^2+2lg2lg5+2lg5=2lg2(lg2+lg5)+2lg5=2lg2+2lg5=2(lg2+lg5)=2(lg10)=2

等于2,,,,,

(lg5)^2+lg2lg50 =(lg5)^2+lg2lg(5*10) =(lg5)^2+lg2(lg5+lg10) =(lg5)^2+lg2(lg5+1) =(lg5)^2+lg2*lg5+lg2 =(lg5)*(lg5+lg2)+lg2 =(lg5)*lg(5*2)+lg2 =(lg5)+lg2 =lg(5*2) =1

1+lg50/lg2 =(lg2+lg50)/lg2 =lg(2x50)/lg2 =lg100/lg2 =2/lg2 =2/0.30102999566398119521373889472449...... =6.6438561897747246957406388589788......

(lg2)³+(lg5)³+3lg2×lg5 =(lg2+lg5)[(lg2)²-lg2lg5+(lg5)²]+3lg2×lg5 =(lg2)²-lg2lg5+(lg5)²+3lg2×lg5 =(lg2)²+2lg2lg5+(lg5)² =(lg2+lg5)² =1

网站首页 | 网站地图
All rights reserved Powered by www.mwbr.net
copyright ©right 2010-2021。
内容来自网络,如有侵犯请联系客服。zhit325@qq.com