
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 \( b > 1 \), \( x > 0 \), and \( (3x)^{\log_b 3} - (4x)^{\log_b 4} = 0 \), 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}
user