
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 South China tiger is a first-class protected animal in our country. To save the species from the brink of extinction, the country has established a South China tiger breeding base. Due to scientific artificial cultivation, the relationship between the number of South China tigers $y$ (individuals) and the breeding time $x$ (years) can be approximately described by $y=a\log_{2}(x+1)$. If there were 20 tigers in the first year of breeding (2012), then by 2015, it is predicted that there will be approximately how many tigers?

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