log4分之3表示的是：以4为底,3的对数吧?
(㏒4分之3+㏒8分之3)(㏒3分之2+㏒9分之2)
=(1/2*log2 3+1/3*log2 3)(log3 2+1/2*log3 2)
=(5/6*log2 3)*(3/2*log3 2)
=(5/6*3/2)*(log2 3 * log3 2)
=5/4*1
=5/4

有什么不明白可以追问!