
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Define the set \( B := \mathbb{Q} \setminus \{0,1\} \). A function \( f : B \rightarrow \mathbb{R} \) satisfies the property that for all \( x \in B \),
\[
f(x) + f\left( \frac{1}{1 - x}\right) = 2\log|x|.
\]
Compute the value of \( f(2023) \). Enter your answer in the form "$\log(a)$", where \( a \) is some positive rational number.

Present the answer in LaTex format: \boxed{Your answer}
user