
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 volume of a new camphor ball is related to the number of days t by the equation V=ae^(-kt), where V is the volume and a is the initial volume, determine the number of days it takes for the volume to become 8/27a, given that the volume becomes 4/9a after 50 days.

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