
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 $\log_3{x} \ge \log_3{9} - \frac{1}{3}\log_3{x}$, find the minimum value of $x$.
**A)** $x \ge 3$
**B)** $x \ge \sqrt{27}$
**C)** $x \ge 9$
**D)** $x \ge 27$

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