Answer
$0$
Work Step by Step
RECALL:
(i) $\log_b{b}=1$
(ii) $\log_b{b^x}=x$
(iii) $\log_b{1} = 0.$
Use rule (i) above to obtain
$\log_3{(\log_7{7})} = \log_3{1}.$
Use rule (ii) above to obtain
$\log_3{1} = 0.$
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