
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 the function $f(x)=\begin{cases}3^{x}+1 & (x < 1), \\ax^{2}-x & (x\geqslant 1), \end{cases}$ if $f(f(0))=3a$, calculate $f(\log_{a}a)$.

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