
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
Find the values of $x$ that satisfy the equation: $\log_{5}(x^2 - 12x) = 3$.
A) $6 + \sqrt{161}, 6 - \sqrt{161}$
B) $15, -10$
C) $15 + \sqrt{161}, 15 - \sqrt{161}$
D) $6 + \sqrt{125}, 6 - \sqrt{125}$
E) None of these

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