
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
\[
\left\{
\begin{array}{l}
\log _{\sqrt{x}}(x y) = 8 \\
\log _{3} \log _{1 / 9} \frac{x}{y} = 0
\end{array}
\right.
\]

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