
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
Positive real numbers $x \neq 1$ and $y \neq 1$ satisfy $\log_3{x} = \log_y{81}$ and $xy = 243$. What is $(\log_3{\tfrac{x}{y}})^2$?
A) 5
B) 7
C) 9
D) 11
E) 12

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