The value of \( \frac{1}{1+\log _{a} b c}+\frac{1}{1+\log _{b} c a}+\frac{1}{1+\log _{c} a b} \)...

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The value of \( \frac{1}{1+\log _{a} b c}+\frac{1}{1+\log _{b} c a}+\frac{1}{1+\log _{c} a b} \) is
(A) \( \log a b c \)
(B) \( \log a+\log b+\log c \)
(C) 1
(D) undefined
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