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If (logx)/(b-c)=(logy)/(c-a)=(logz)/(a-b...

If `(logx)/(b-c)=(logy)/(c-a)=(logz)/(a-b)` , then which of the following is/are true? `z y z=1` (b) `x^a y^b z^c=1` `x^(b+c)y^(c+b)=1` (d) `x y z=x^a y^b z^c`

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To solve the problem, we start with the given equation: \[ \frac{\log x}{b-c} = \frac{\log y}{c-a} = \frac{\log z}{a-b} = k \] where \( k \) is some constant. From this, we can express \( \log x \), \( \log y \), and \( \log z \) in terms of \( k \): ...
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