
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
Suppose $f(x) = 2x - \ln x$ where $x \in (0, e)$. The minimum value of $f(x)$ is:

A) $2e - 1$

B) $1 - \ln 2$

C) $2 - \frac{1}{e}$

D) $1 + \ln 2$

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