
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 $a_1 = 2$ and $a_n = 2a_{n-1} \text{ for } n \in \mathbb{N}^* \text{ and } n > 1,$ find the sum of the first 10 terms, $S_{10}$, of the sequence $\{\log_2 a_n\}$.

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