
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
Using only the tabular data $10^3 = 1000$, $10^4 = 10,000$, $2^{11} = 2048$, and $2^{14} = 16384$, what is the closest interval you can place $\log_{10}{2}$ within?
A) $\frac{3}{10} \; \text{and} \; \frac{4}{14}$
B) $\frac{3}{11} \; \text{and} \; \frac{4}{14}$
C) $\frac{3}{11} \; \text{and} \; \frac{2}{7}$
D) $\frac{3}{11} \; \text{and} \; \frac{4}{13}$

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