
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
If \(\log_{e}(x^2-5x+8) = 2\), what are the possible values of \(x\)?
**A)** \(x \approx 4.8 \text{ or } 0.13\)  
**B)** \(x \approx 4.9 \text{ or } 0.12\)  
**C)** \(x \approx 5.0 \text{ or } 0.1\)  
**D)** \(x \approx 4.87 \text{ or } 0.13\)  
**E)** None of these

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