
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)** Solve the system  $$   \left\{\begin{matrix} 3^y-4^x=11 \log_4{x} +\log_3 y =3/2\end{matrix}\right.  $$  **b)** Solve the equation  $ \quad 9^{\log_5 (x-2)} -5^{\log_9 (x+2)} = 4. $ 

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