
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
To find a job after being demobilized, soldier Maurice started sending letters to various enterprises where his skills might be used. He believes that each of his applications has a 1 in 5 chance of being accepted, and he stops sending letters once he finds that he has at least a 3 in 4 chance of getting a job.

How many letters will Maurice have to write? (The decimal logarithms of 3, 4, and 5 are approximately 0.477, 0.602, and 0.699, respectively.)

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