化简(log4(3)+log8(3))(log3(2)+log9(2))
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(log4(3)+log8(3))(log3(2)+log9(2))
=(lg3/lg4+lg3/lg8)(lg2/lg3+lg2/lg9)
=5lg3/6lg2X3lg2/2lg3
=5/6X3/2
=5/4
=(lg3/lg4+lg3/lg8)(lg2/lg3+lg2/lg9)
=5lg3/6lg2X3lg2/2lg3
=5/6X3/2
=5/4
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展开全部
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
=5/6log2(3)*3/2log3(2)
=5/6log2(3)*3/2*1/log2(3)
=5/4
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