Answer
(a) False
(b) True
Work Step by Step
(a) This is false.
$\log(A+B)\neq\log A+\log B$
We can show this thus:
$\log A+\log B=log(AB)\neq log(A+B)$
(since $A+B\neq AB$)
(b) This is true.
$\log AB=\log A+\log B$
(This is a general property of logs.)