#### Answer

a.) False
b.) True

#### Work Step by Step

$True$ $or$ $False$
a.) $\log (A+B)$ is the same as $\log A$ + $\log B$.
b.) $\log AB$ is the same as $\log A$ + $\log B$
The First Law states that the logarithm of a product of numbers is the sum of the logarithms of the numbers with the equation being:
$\log_a AB$ = $\log_a A$ + $\log_a B$
a.) False
b.) True