
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
Solve the following equation:

$$
\log \left[\frac{1}{x}+\frac{96}{x^{2}\left(x^{2}-1\right)}\right]=\log (x+1)+\log (x+2)+\log (x+3)-2 \log x-\log \left(x^{2}-1\right)
$$

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