log₂log₃log₄ X=log₃log₄log₂ Y=log₄log₂log₃ Z=0X+Y+Z=?为什么是71呀?
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![log₂log₃log₄ X=log₃log₄log₂ Y=log₄log₂log₃ Z=0X+Y+Z=?为什么是71呀?](/uploads/image/z/10952282-2-2.jpg?t=log%26%238322%3Blog%26%238323%3Blog%26%238324%3B+X%3Dlog%26%238323%3Blog%26%238324%3Blog%26%238322%3B+Y%3Dlog%26%238324%3Blog%26%238322%3Blog%26%238323%3B+Z%3D0X%2BY%2BZ%3D%3F%E4%B8%BA%E4%BB%80%E4%B9%88%E6%98%AF71%E5%91%80%3F)
log₂log₃log₄ X=log₃log₄log₂ Y=log₄log₂log₃ Z=0X+Y+Z=?为什么是71呀?
log₂log₃log₄ X=log₃log₄log₂ Y=log₄log₂log₃ Z=0
X+Y+Z=?
为什么是71呀?
log₂log₃log₄ X=log₃log₄log₂ Y=log₄log₂log₃ Z=0X+Y+Z=?为什么是71呀?
log₂log₃log₄ X=0
log₃log₄ X=1
log₄ X=3
X=64
log₃log₄log₂ Y=0
log₄log₂ Y=1
log₂ Y=4
Y=16
log₄log₂log₃ Z=0
log₂log₃ Z=1
log₃ Z=2
Z=9
所以x+y+z=89
啊.怎么是71呀
我还没学
log₃log₄X=1,=>log₄X=3,=>X=64
log₄log₂Y=1,=>log₂Y=4,=>Y=16
log₂log₃Z=1,=>log₃Z=2,=>Z=9
所以X+Y+Z=89
X+Y-Z=71
log₂log₃log₄ X=0
log₃log₄ X=1
log₄ X=3
X=4^3=64
log₃log₄log₂ Y=0
log₄log₂ Y=1
log₂ Y=4
Y=2^4=16
log₄log₂log₃ Z=0
log₂log₃ Z=1
log₃ Z=2
Z=3^2=9
X+Y+Z=64+16+9=89
x=64,y=16,z=9;x+y+z=89
如此简单的问题,口算都知道是89
应该是X+Y-Z=?吧?
由:log₂log₃log₄ X=log₃log₄log₂ Y=log₄log₂log₃ Z=0
得:log₃log₄ X=log₄log₂ Y=log₂log₃ Z=1
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应该是X+Y-Z=?吧?
由:log₂log₃log₄ X=log₃log₄log₂ Y=log₄log₂log₃ Z=0
得:log₃log₄ X=log₄log₂ Y=log₂log₃ Z=1
所以:
log₄ X=3
log₂ Y=4
log₃ Z=2
所以:
X=64,Y=16,Z=9
所以得结果。
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