
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
Let \\(f(x)\\) be a function defined on \\(\mathbb{R}\\) and satisfies \\(f(x+2)=f(x+1)-f(x)\\). If \\(f(1)=\log \frac {3}{2}\\) and \\(f(2)=\log 15\\), then \\(f(2011)=\\) \_\_\_\_\_\_.

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