# Chapter 5 - 5.5 - Exponential and Logarithmic Models - 5.5 Exercises - Page 408: 47a

$-220$ decibels

#### Work Step by Step

We have $\beta=10 \log (II_0)$ Therefore, $\beta=10 \log (10^{-10} \times 10^{-12})= 10 \log 10^{-22}$ Or, $\beta = 10 (-22) \log 10 =-220$ Therefore, the sound level is $\beta = -220$ decibels

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