
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
a) \(\frac{3 \log_{a} x + 6}{\log_{a}^{2} x + 2} > 1\)

b) \(\log_{2} \log_{4} x + \log_{4} \log_{2} x \leq -4\)

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