
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
The function is defined as follows:
$$
f(x)= \begin{cases} 
\log_{3}(3-x) & \text{if } x\leq 0 \\
f(x-1) & \text{if } x>0 
\end{cases}
$$
What is the value of $f(3)$?

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