
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
Biologists often determine the impact of a certain drug on soil by testing. It is known that the residual amount of a certain drug in the soil $y$ (in mg) is approximately related to time $t$ (in years) by the formula $y = a \log_{2} \frac{12}{t+1}$, where $a$ is the residual coefficient. Approximately after ____ years, the residual amount of the drug in the soil will be $\frac{1}{4}$ of the amount after 2 years. (Reference data: $\sqrt{2} \approx 1.41$, keep one decimal place in the answer)

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