
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
\(4^{\log _{9} x^{2}}+\log _{\sqrt{3}} 3=0.2\left(4^{2+\log _{9} x}-4^{\log _{9} x}\right)\).

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