求值:(log(4)3+log(8)3)×(log(3)2+log(9)2)+log(2)(2^5)¼
问题描述：
求值:(log(4)3+log(8)3)×(log(3)2+log(9)2)+log(2)(2^5)¼
答
原式=(1/2log(2)3+1/3log(2)3)×(log(3)2+1/2log(3)2)+5/4
=5/6log(2)3×3/2log(3)2+5/4
=5/4+5/4
=5/2