To find the domain of the logarithmic function $f(x) = \log(2 - x)$, we follow these steps:

1. Logarithm Requirement: The argument of a logarithmic function must be strictly greater than 0. Thus, $2 - x > 0$.

2. Solve the Inequality: $2 - x > 0 \implies x < 2$

3. Domain in Interval Notation: The solution $x < 2$ means the domain is $(-\infty, 2)$.

Final Answer:

The domain of $f(x) = \log(2 - x)$ is $\boxed{(-\infty, 2)}$.

Would you like further details about logarithmic domains or any specific questions clarified? Here are some related questions:

1. What happens if the argument of the logarithm equals 0?
2. How would the domain change if the function was $f(x) = \log(x - 2)$?
3. Can a logarithmic function have negative arguments in its domain?
4. What are other transformations of logarithmic functions affecting their domains?
5. How do exponential and logarithmic functions relate in terms of domain and range?

Tip: Always ensure the argument of a logarithmic function is strictly positive when determining its domain.