
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 Li Ming's app, after $t$ days, has a user count of $A\left(t\right)=500e^{kt}$, where $k$ is a constant, and it is known that after $10$ days of the app being released, there are 2000 users, determine the minimum number of days it takes for the user count to exceed 50000.

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