Question

full explanation needed​

Answer 1

Answer:

The answer is 1 .

Step-by-step explanation:

$\sf \frac {1}{1 + log_{a}{bc}} + \frac {1}{1+log_{b}{ac }} + \frac {1}{1 + log_{c}{ab}}$

$\sf \frac {1}{log_{a}{a}+ log_{a}{bc}} + \frac {1}{log_{b}{b}+log_{b}{ac }} + \frac {1}{log_{c}{c} + log_{c}{ab}}$

$\sf \frac {1}{log_{a}{abc}} + \frac {1}{log_{b}{abc }} + \frac {1}{ log_{c}{abc}}$

$\sf log_{abc}{a} + log_{abc}{b} + log_{abc}{c}$

$\sf log_{abc}{abc}$

$\sf 1$

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