(log4 3+log8 3)(log3 5+log9 5)(log5 2+log25 2)=
展开全部
(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
=[(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
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