
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
Given that $f(x)$ is a function defined on the set of real numbers, and for $x \in (0, 1]$, $f(x) = 2^x$. It is also known for any $x$ that $f(x+1) = \frac{1-2f(x)}{2-f(x)}$. Calculate $f(\log_2{5})$.

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