
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 function $f(x) = \log_{2}x$, and a geometric sequence $\{a_n\}$ with the first term $a_1 > 0$ and common ratio $q = 2$. If $f(a_2a_4a_6a_8a_{10}) = 25$, then $f(a_{2012}) = \boxed{\text{(B) } 2011}$.

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