
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
\[ 8.24 \log_{3} \left(\frac{3x-5}{x+1}\right) \leq 1 \]

\[ 8.25 \cdot 4^{\log_{2}^{2} x + 1} < 6.25^{2 - \log_{2} x^{3}} \]

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