
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
Given the decay law of carbon-14 mass $N$ in the fossil samples of stone artifacts over time $t$ as $N={N}_{0}{(\frac{1}{2})}^{\frac{t}{5730}}$, where the carbon-14 mass in a fossil sample of stone artifacts at the Xuetang Liangzi site is approximately $\frac{3}{8}$ times the original, determine the approximate time since the production of this stone artifact.

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