
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
A function $f(x)$ is defined on $\mathbb{R}$ such that for any real number $x$, $f(x+2)=f(x+1)-f(x)$. Given that $f(1)=\log_3 2$ and $f(2)=\log_3 5 + \log_3 3$, find $f(2019)$.

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