
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 $\log_5 \Big(\log_4(\log_2 x)^2\Big) = 1$, find the value of $x^{1/3}$.
A) $2^{4^{\sqrt{5}}}$
B) $\frac{4^{\sqrt{5}}}{3}$
C) $2^{\frac{4^{\sqrt{5}}}{3}}$
D) $\sqrt{5}$
E) $2^{\sqrt{5}}$

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