
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
In a satellite-borne laser communication system, given that the energy estimation formula of a satellite-borne laser communication system at a certain depth underwater in coastal waters is ${E}_{r}=\frac{3}{S}{E}_{P}×1{0}^{-7}$, where $E_{P}$ is the energy of a single pulse output by the laser, $E_{r}$ is the energy of the optical pulse received by the submarine underwater, and $S$ is the spot area of the optical pulse on the submarine receiving plane with $S=75km^{2}$, calculate the approximate value of $\Gamma$, where $\Gamma=10lg\frac{{E}_{r}}{{E}_{P}}$ (unit: $dB$).

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