Question: What is the domain of the function $f(x) = \log(x - 8)$?
1. **State the problem:** We need to find the domain of the function $f(x) = \log(x - 8)$. The domain is the set of all $x$ values for which the function is defined.
2. **Recall the rule for logarithms:** The argument of a logarithm must be strictly greater than zero. That is, for $\log(a)$ to be defined, we need $a > 0$.
3. **Apply the rule to our function:** The argument here is $x - 8$. So we require:
$$x - 8 > 0$$
4. **Solve the inequality:**
$$x > 8$$
5. **Interpret the solution:** The domain of $f(x)$ is all real numbers greater than $8$, which in interval notation is:
$$(8, \infty)$$
6. **Conclusion:** The domain of $f(x) = \log(x - 8)$ is $(8, \infty)$.
**Final answer:** $(8, \infty)$