Find the domain of \(f(x) = \frac{x}{3 - x}, x \in R\), the set of real numbers.

Find the value of \(\cos(60° + 45°)\) leaving your answer in surd form.

If \(\frac{5}{\sqrt{2}} - \frac{\sqrt{8}}{8} = m\sqrt{2}\), where m is a constant. Find m.

If \(16^{3x} = \frac{1}{4}(32^{x - 1})\), find the value of x.

Simplify \(\frac{\log_{5} 8}{\log_{5} \sqrt{8}}\).