
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
The relationship between the amount of pollutants P (mg/L) in the exhaust gas generated by a factory after filtration and the time t (h) during the filtration process is given by P = P<sub>0</sub>e<sup>-kt</sup>. If 20% of the pollutants were eliminated in the first 2 hours, then calculate the time required to reduce the pollutants by 50%.

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