
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
Find the values of \( x \) satisfying the following inequality:
$$
\log _{2+x}\left(8+x^{3}\right) \leq \log _{2+x}(2+x)^{3}
$$
Given the domain of \( x \) is \( x > -2 \) and \( x \neq -1 \).

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