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问题: 高手来帮帮忙

log2[log3(log4(x))=log3[log4(log2(x))=log4[log2(log3(z)) 则 x+y+z=?
括号内的数为每个相应对数的真数~~~~

解答:

log2[log3(log4(x))=log3[log4(log2(y))=log4[log2(log3(z))
有无数的解,x+y+z不确定.
比如都等于0
log2[log3(log4(x))=0
==>log3(log4(x))=1
==>log4(x))=3 ===>x=64

log3[log4(log2(y))=0
==>log4(log2(y))=1
==>log2(y))=4
==>y=16

log4[log2(log3(z))=0
==>log2(log3(z))=1
===>log3(z))=2
==>z=9

===>x+y+z=89

给定一个数字,就有一个数值........