Answer
$4$
Work Step by Step
RECALL:
(1) $\log_b{M} + \log_b\log{N} = \log_b{MN}$
(2) $\log_b{M} - \log_b{N} = \log_b{\frac{M}{N}}$
(3) $\log_b{b^x} = x$
Use rule (1) above to obtain:
$=\log{50(200)}
\\=\log{10,000}$
Write $10,000$ as $10^4$ to obtain:
$=\log{10^4}$
Use rule (3) above with $b=10$ to obtain:
$=4$
