
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: $\frac {\ln a_1}{2} \cdot \frac {\ln a_2}{5} \cdot \frac {\ln a_3}{8} \cdots \frac {\ln a_n}{3n-1} = \frac {3n+2}{2} (n \in \mathbb{N}^*)$, calculate $a_{10}$.

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