(Log2 125+log4 25+log8 5)(log5 2+log25 4+log125

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/16 21:18:23
(Log2125+log425+log85)(log52+log254+log125(Log2125+log425+log85)(log52+log254+log125(Log2125+log425+

(Log2 125+log4 25+log8 5)(log5 2+log25 4+log125
(Log2 125+log4 25+log8 5)(log5 2+log25 4+log125

(Log2 125+log4 25+log8 5)(log5 2+log25 4+log125
首先要知道loga b^n=n*loga b a为底数,b为真数
loga^n b=lg b/(n*lga) a^n为底数,b为真数
原式=(3*lg5/lg2+lg5/lg2+1/3*lg5/lg2)*(lg2/lg5+lg2/lg5+lg2/lg5)
=13/3*lg5/lg2*3*lg2/lg5
=13