Answer:
[tex]\mathbf{\beta=140\ dB}[/tex]
Step-by-step explanation:
The Logarithm Function
The sound level is usually calculated as a logarithm by the formula:
[tex]\displaystyle \beta=10\log\frac{I}{I_o}[/tex]
Where
I = Sound intensity in W/square meter
Io = Smallest sound intensity that can be heard.
[tex]I_o=1\cdot 10^{-12}\ W/m^2[/tex]
The blue whale can emit a sound of I=106.8 W/square meter, thus the sound level is:
[tex]\displaystyle \beta=10\log\frac{106.8}{1\cdot 10^{-12}}[/tex]
[tex]\displaystyle \beta=10*14[/tex]
[tex]\mathbf{\beta=140\ dB}[/tex]
