Answer
$0$
Work Step by Step
RECALL:
(i) $\log_b{b} = 1$
(ii) $\log_b{1}=0$
With $b=7$, use rule (i) to obtain:
$\log_3{(\log_7{7})}=\log_3{1}$
Use rule (ii) above to obtain:
$\log_3{1}=0$
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