Answer
(a) True
(b) False
Work Step by Step
(a) This is true.
$\log\frac{A}{B}=\log A-\log B$
(This is a general property of logs.)
(b) This is false.
$\frac{\log A}{\log B}\neq\log A-\log B$
Because the right side actually equals:
$\log A-\log B=\log (\frac{A}{B})$