
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 it is known that $\log_3(x) + \log_3(y) \ge 8$, determine the minimum value that can be taken by $x+y$.
A) 6480
B) 162
C) 324
D) 972

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