
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 \(b = 4a\), then find the value of \(a\).
A) \(1\) 
B) \(\sqrt{3}\) 
C) \(2\) 
D) \(\sqrt[3]{4}\) 
E) \(\sqrt[4]{2}\)

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