
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
If \( y = (\log_4 3)^{(\log_3 9)} \), then \( \log_2 y \) equals:
A) \( 2 \log_2 (\log_2 3) - 1 \)
B) \( 2 \log_2 (\log_2 3) - 2 \)
C) \( 4 \log_2 (\log_2 3) - 2 \)
D) \( \log_2 (\log_2 3) - 2 \)

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