log4(3)=(1/2)log2(3)，log8(3)=(1/3)log2(3)所以，log4(3)+log8(3)=(5/6)log2(3)log9(2)=(1/2)log3(2)所以，log3(2)+log9(2)=(3/2)log3(2)所以，原式=[(5/6)log2(3)]*[(3/2)log3(2)]=(5/6)*(3/2)=5/4 祝你开心！希望能帮到你，如果不懂，请追问，祝学习进步！
