
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
People use decibels ($dB$) to classify the level of sound. The level of sound $d(x)$ (unit: $dB$) is related to the sound intensity $x$ (unit: $W/m^{2}$) by the formula $d(x) = 9\lg \frac{x}{1×10^{-13}}$. Given that the sound level is $54$ $dB$ when two people are talking quietly and $63$ $dB$ when a teacher is teaching in a classroom with $50$ people, determine the sound intensity of the teacher teaching relative to the sound intensity of two people talking quietly.

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