
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
Determine the positive values of $x$ that satisfy the equation $(\log_2x)(\log_x9)=\log_29$.
A) $x = 3 \text{ and } 9 \text{ only}$
B) $x = 3, 9, \text{ and } 27 \text{ only}$
C) $\text{only numbers of the form } 9^n \cdot 2^m, \text{ where } n \text{ and } m \text{ are positive integers}$
D) $\text{all positive } x \neq 1$
E) $\text{none of these}$

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