
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
Given that $\lfloor x \rfloor$ represents the greatest integer less than or equal to the real number $x$, and $g(x)=\lfloor x \rfloor$ is the floor function, find the value of $g(x_0)$, where $x_0$ is the root of the function $f(x)=\ln x- \frac {2}{x}$.

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