3的x次方=2,12的y次方=8,则1/x+3/y=则1/x-3/y=

发布时间:2021-02-21 19:08:25

3的x次方=2,12的y次方=8,则1/x+3/y=则1/x-3/y=

网友回答

3^x=2,12^y=8
∴ x=log3(2),y=log12(8)
∴ 1/x=log2(3),1/y=log8(12)
∴ 1/x-3/y
=log2(3)-3log8(12)
=log2(3)-log2³(12³)
=log2(3)-log2(12)
=log2(3/12)
=log2(1/4)
=-2
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