
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
A factory's waste gas is discharged after filtration. The relationship between the amount of pollutants in the waste gas (Pmg/L) and time (th) during the filtration process is given by P=P0e−kt. If 10% of the pollutants were removed in the first 5 hours, how many hours are needed to remove 27.1% of the pollutants?

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