
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
If \(x\) is positive and \(\log_3{x} \ge \log_3{3} + \frac{1}{3}\log_3{x}\), then what is the minimum value of \(x\)?
**A)** \( 9 \) \\
**B)** \( 3 \) \\
**C)** \( 3\sqrt{3} \) \\
**D)** \( \sqrt{9} \) \\
**E)** \( \sqrt{27} \)

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