Express as a single logarithm:

Here are the solutions to the problems.

1. Express as a single logarithm:
$\log 3 + \log 16 - \log 4 - \log 6$

Step 1: Use the logarithm property $\log a + \log b = \log (a \cdot b)$ to combine the positive terms and the negative terms separately.

$$(\log 3 + \log 16) - (\log 4 + \log 6)$$ $$\log (3 \times 16) - \log (4 \times 6)$$ $$\log 48 - \log 24$$

Step 2: Use the logarithm property $\log a - \log b = \log \left(\frac{a}{b}\right)$ to combine the remaining terms.

$$\log \left(\frac{48}{24}\right)$$

Step 3: Simplify the fraction.

$$\log 2$$

The expression as a single logarithm is $\boxed{\log 2}$.

2. Simplify: