(log4 3+log8 3)(log3 5+log9 5)(log5 2+log25 2)=

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/18 22:20:02
(log43+log83)(log35+log95)(log52+log252)=(log43+log83)(log35+log95)(log52+log252)=(log43+log83)(log3

(log4 3+log8 3)(log3 5+log9 5)(log5 2+log25 2)=
(log4 3+log8 3)(log3 5+log9 5)(log5 2+log25 2)=

(log4 3+log8 3)(log3 5+log9 5)(log5 2+log25 2)=
(log2 3/log2 4+log2 3/log2 8)(log3 5/log3 3+log3 5/log3 9)(log5 2/log5 5+log5 2/log5 25)
=[(5log2 3)/6][(3log3 5)/2][(3log5 2)/2]
然后全部换成以2为底的对数得上式=(5/6)(3/2)(3/2)[(log2 3/log2 2)(log2 5/log2 3)(log2 2/log2 5)]=15/8