
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
Let $\{a_n\}$ be a geometric sequence where all terms are positive, and $a_1+a_2=4$, $a_3=9$.
(I) Find the general term formula for $\{a_n\}$;
(II) Compute the sum $\log a_1 + \log a_2 + \dots + \log a_n$.

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