化简(log4(3)+log8(3))(log3(2)+log9(2))

来源:学生作业帮助网 编辑:六六作业网 时间:2025/01/22 21:50:27
化简(log4(3)+log8(3))(log3(2)+log9(2))化简(log4(3)+log8(3))(log3(2)+log9(2))化简(log4(3)+log8(3))(log3(2)+

化简(log4(3)+log8(3))(log3(2)+log9(2))
化简(log4(3)+log8(3))(log3(2)+log9(2))

化简(log4(3)+log8(3))(log3(2)+log9(2))
(log4(3)+log8(3))(log3(2)+log9(2))
=(lg3/lg4+lg3/lg8)(lg2/lg3+lg2/lg9)
=5lg3/6lg2X3lg2/2lg3
=5/6X3/2
=5/4

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