
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 system of equations:

\[
\begin{cases}
\log_{2} x + \log_{4} y = 4 \\
\log_{4} x + \log_{2} y = 5
\end{cases}
\]  

find the values of \( x \) and \( y \).

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