(log(4)3+log(8)3)(log(3)2+log(9)2) 怎么个思路

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(log(4)3+log(8)3)(log(3)2+log(9)2)怎么个思路(log(4)3+log(8)3)(log(3)2+log(9)2)怎么个思路(log(4)3+log(8)3)(log(

(log(4)3+log(8)3)(log(3)2+log(9)2) 怎么个思路
(log(4)3+log(8)3)(log(3)2+log(9)2) 怎么个思路

(log(4)3+log(8)3)(log(3)2+log(9)2) 怎么个思路
用换底公式loga b=lnb/lna
(log(4)3+log(8)3)(log(3)2+log(9)2)
=(ln3/(2ln2)+ln3/(3ln2))(ln2/ln3+ln2/(2ln3))
=5/6*ln2/ln3*3/2*ln3/ln2
=5/4