
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 $\log_2{x} = \log_y{25}$ and $xy = 81$. What is $(\log_2{\tfrac{x}{y}})^2$?
**A)** 2.06
**B)** 3.85
**C)** 5.11
**D)** 6.24
**E)** 7.69

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