
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 set of all real numbers \( x \) for which the expression
\[
\log_{5}(\log_{4}(\log_{3}(\log_{2}{x})))
\]
is defined as \( \{x \mid x > c\} \). What is the value of \( c \)?
A) \( 8 \)  
B) \( 2^{3} = 8 \)  
C) \( 2^{4} = 16 \)  
D) \( 2^{81} \)

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