
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 of positive numbers $\{a_n\}$ satisfying $a_2 = \frac{1}{2}$, $a_6 = \frac{1}{32}$, and $\frac{a_{n+1}}{a_{n}} = \frac{a_{n}}{a_{n-1}}$ (for $n \geq 2$, $n \in \mathbb{N}$), find the value of $\log_2 a_4$.

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