Answer
$\log_4{294}$
Work Step by Step
RECALL:
(1) $\log_b{P} + \log_b{Q} = \log_b{(PQ)}$
(2) $\log_b{P} - \log_b{Q} = \log_b{(\frac{P}{Q})}$
(3) $a(\log_b{x}) = \log_b{(x^a)}$
Use rule (3) above to obtain:
$=\log_4{6}+\log_4{(7^2)}
\\=\log_4{6}+\log_4{49}$
Use rule (1) above to obtain:
$=\log_4{[6(49)]}
\\=\log_4{294}$
