
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
Determine the domain of the function $g(x) = \log_2(\log_4(\exp(\log_{\frac{1}{8}}(\log_8 x))))$. What is the length of this domain as a reduced fraction $\frac{p}{q}$, where $p$ and $q$ are relatively prime positive integers? Find $p+q$.
A) 6
B) 7
C) 8
D) 9
E) 10

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