
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 a sequence $\{a_n\}$ that satisfies $$\frac {\ln a_{1}}{3} \cdot \frac {\ln a_{2}}{6} \cdot \frac {\ln a_{3}}{9} \cdot \ldots \cdot \frac {\ln a_{n}}{3n} = \frac {3n}{2}$$ ($n \in \mathbb{N}^*$), find the value of $a_{10}$.

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