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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)=c,c^(z)=a`
`rArr" "x=log_(a)b,y=log_(b)c,z=log_(c)a`
`rArr" "xyz=(log_(a)^(b))(log_(b)^( c))(log_(c)^(a))=(logb)/(loga)(logc)/(logb)(loga)/(logc)=1`
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