
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
Find the value of $x$ that satisfies the equation
\[ 16^{-3} = \frac{2^{96/x}}{2^{52/x} \cdot 16^{34/x}}. \]
A) $\frac{22}{3}$
B) $\frac{23}{3}$
C) 8
D) 7.67
E) $\frac{24}{3}$

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