Question 103
Let $A := \mathbb{Q} \setminus \{0, 1\}$ denote the set of all rationals other than $0$ and $1$. A function $f: A \rightarrow \mathbb{R}$ has the property that for all $x \in A$,
$$
f(x) + f\left(1 - \frac{1}{x}\right) = \log |x|
$$
Compute the value of $f(2007)$.
$$
f(x) + f\left(1 - \frac{1}{x}\right) = \log |x|
$$
Compute the value of $f(2007)$.