[log4(3)/log4(8)][log3(2)log9(2)]

[log4（3）+log8（3）]×[log3（2）+log9（2）]
=[1/2log2（3）+1/3log2（3）]×[log3（2）+1/2log3（2）]
=[5/6log2（3）]×[3/2log3（2）]
=5/6×3/2×log2（3）×log3（2）
=5/6×3/2×1
=5/4