
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
If $a$ and $b$ are positive numbers such that $a^b = b^a$ and $b = 4a$, find the value of $a$.
A) $\sqrt{4}$
B) $\sqrt[3]{4}$
C) $\frac{1}{4}$
D) $\sqrt[2]{3}$
E) $\sqrt[4]{4}$

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