
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 breeding number $y$ (in individuals) of a certain animal is related to time $x$ (in years) by the equation $y = a\log_{2}(x+1)$. If there were 100 of these animals in the first year, determine the population of the animals in the seventh year.

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