If \( p=\log _{a} b c, q=\log _{b} c a \) and \( r=\log _{c} a b \), then which of the following...

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If \( p=\log _{a} b c, q=\log _{b} c a \) and \( r=\log _{c} a b \), then which of the following is true?
(a) \( p+q+r+2=p q r \)
(b) \( p q r=2 \)
(c) \( p+q+r=p q r \)
(d) \( p q r=1 \)
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