
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
For what value of $x$ does $10^{x}\cdot 1000^{2x}=10000^{5}$?
A) $\frac{10}{7}$  
B) $\frac{15}{7}$  
C) $\frac{20}{7}$  
D) $\frac{25}{7}$  
E) $\frac{30}{7}$

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