
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 the function $f(x) = \begin{cases} 2^{-x}, & x < 1 \\ \log_{4}x, & x > 1 \end{cases}$, find the value(s) of $x$ that satisfy $f(x) = \frac{1}{4}$.

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