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If a^x=b ,b^y=c ,c^z=a , then find the v...

If `a^x=b ,b^y=c ,c^z=a ,` then find the value of `x y zdot`

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`a^x=b,b^y=e,c^z=a`
taking log both side
`xloga=logb`
`x=logb/loga`
Similarly,
`y=logc/logb`
`z=loga/logc`
`logb/loga*logc/logb*loga/logc=1`.
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