Answer:
The the decibel level be when three sleep deprived students are typing furiously in the same room is 64.77 dB.
Step-by-step explanation:
Given that,
Decibel level = 60.0 dB
Using formula of decibel level
![\beta= 10 log(I)/(I_(0))](https://img.qammunity.org/2020/formulas/physics/college/e5bddr52so545hz94ttj4trvns1sn2gswu.png)
For one student,
![60.0=10 log(I)/(I_(0))](https://img.qammunity.org/2020/formulas/physics/college/570m4y5wtzb8suo29bg2wcxpi7dj9olza3.png)
For 3 students,
![\beta'=10 log(3I)/(I_(0))](https://img.qammunity.org/2020/formulas/physics/college/ehfxub8qd54ooclac1f49f5mltl68zk6hn.png)
![\beta'=10log 3+10 log(I)/(I_(0))](https://img.qammunity.org/2020/formulas/physics/college/6ecnlykjwu38myif8awhuufa2tcu5svohs.png)
![\beta'=4.77+60.0](https://img.qammunity.org/2020/formulas/physics/college/eo4zchs1mjb6d758nbef44nxixapichp74.png)
![beta'=64.77\ dB](https://img.qammunity.org/2020/formulas/physics/college/k5aqtg1rwyyd27le0sz32b45px1kcs8kpe.png)
Hence, The the decibel level be when three sleep deprived students are typing furiously in the same room is 64.77 dB.