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

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

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`a^x = b; b^y = c ; c^z = a`
`a^x = b`
`log a^x = log b`
`x log a = log b`
`x = log b/log a = log_a b`
now , `b^y = c`
`log b^y = log c`
`y log b = log c`
...
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