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If y^2=x za n da^x=b^y=c^z , then prove ...

If `y^2=x za n da^x=b^y=c^z ,` then prove that `(log)_6a=(log)_c bdot`

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`a^(x) = b^(y) = c^(z)`
` rArr x log a = y log b = z log c`
` :. y/x = z/y rArr(log a)/(log b) = (log b)/(log c)`
` rArr log_(b) a = log_(c) b`
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