
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 the set of real numbers $R$ and satisfies $f(x+2)=f(x+1)-f(x)$. If $f(1)=\log_{10} \frac{3}{2}$ and $f(2)=\log_{10} 15$, then $f(0)=$ \_\_\_\_\_\_.

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