
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
Solve for the product of all positive real roots of the equation $x^{\log_{5}{x}} = 25$.
A) $25$
B) $5^{\sqrt{2}}$
C) $10$
D) $5$
E) None of these

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