
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
\[ 7.34 \log _{3} x \cdot \log _{9} x \cdot \log _{27} x \cdot \log _{81} x = \frac{2}{3} \]

\[ 7.351 + 2 \log _{x} 2 \cdot \log _{4}(10-x) = \frac{2}{\log _{4} x} \]

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