
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
Let $x \in \mathbb{R}$. If the function $f(x)$ is a monotonically increasing function, and for any real number $x$, it holds that $f[f(x) - e^x] = e + 1$ (where $e$ is the base of the natural logarithm), then calculate the value of $f(\ln 2)$.

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