
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 product of all real roots of the equation \(x^{\log_5{x}} = 25\).
A) \(1\)  
B) \(-1\)  
C) \(25\)  
D) \(5^{-1}\)  
E) \(\sqrt{5}\)

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