
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 sum \( S \) of all positive real numbers \( x \) that satisfy the equation
\[
x^{2^{\sqrt{3}}} = \sqrt{3}^{2^x}.
\]
A) \( S < 1 \)
B) \( S = 1 \)
C) \( S = \sqrt{3} \)
D) \( 2 \leq S < 3 \)
E) \( S \geq 3 \)

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