
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 \( x \) if \(\log_{5} (x^2 - 5x + 14) = 2\).
**A)** \( \frac{5 + \sqrt{69}}{2}, \frac{5 - \sqrt{69}}{2} \)  
**B)** \( \frac{5 + \sqrt{75}}{2}, \frac{5 - \sqrt{75}}{2} \)  
**C)** \( \frac{5 + \sqrt{65}}{2}, \frac{5 - \sqrt{65}}{2} \)  
**D)** \( 6, -1 \)  
**E)** None of these

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