The problem is basically asking us to find a way to find the sound intensity I, in terms dependent on the sound level and the reference intensity [tex] I_0 [/tex].For this purpose we can start from the unit used in the scale logarithmic decibel, that is
[tex]\beta = 10log_{10}\frac{I}{I_0}[/tex]
Where
I = Acoustic intensity on the linear scale
[tex]I_0 =[/tex] Hearing threshold
Using the logarithmic properties of the exponents the above expression can be described as:
[tex](\frac{I}{I_0})^{10} = 10^{\beta}[/tex]
[tex]I = I_0 10^{\frac{\beta}{10}} \righarrow[/tex] that is the expression or technique to find the intensity of sound.
