用对数换底公式简化

（log4 3+log8 3)(log3 2+log9 2)
=(ln3/ln4+ln3/ln8)(ln2/ln3+ln2/ln9)
=(ln3/2ln2+ln3/3ln2)(ln2/ln3+ln2/2ln3)
=(5ln3/6ln2)(3ln2/2ln3)
=(5/6)*(3/2)
=5/4

看不懂 说清楚那个是底数 哪个是真数

原式
=[(1/2)(log2 3)+(1/3)(log2 3)][(log3 2)+(1/2)(log3 2)]
=(5/6)*(3/2)*(log2 3)(log3 2)
=5/4