
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
If $a > 1$, $x > 0$, and $(3x)^{\log_a 3} - (4x)^{\log_a 4} = 0$, then $x$ is
A) $\frac{1}{8}$
B) $\frac{1}{4}$
C) $1$
D) $4$
E) $\text{not uniquely determined}$

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