
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
Given \\(f(x)=\begin{cases} 3e^{x-1}, & x < 3 \\ \log_{3}(x^2-6), & x\geq 3 \end{cases}\\), then the value of \\(f(f(3))\\) is ______.

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