The sound intensity is 10 watts/meter^2.
We have given that the formula
[tex]B=10log(I/I_0)[/tex]
We have B=130
Substitute 130 for B.
[tex]I_0[/tex] is the intensity that can be heard by human ear and that is
[tex]10^{-12} Watt/m^2[/tex]
Substitute 10^-12 for [tex]I_o[/tex]
[tex]130=10log(I/10^{-12} )\\10\log _{10}\left(\frac{I}{10^{-12}}\right)=130[/tex]
divide both side by 10
[tex]\frac{10\log _{10}\left(\frac{I}{10^{-12}}\right)}{10}=\frac{130}{10}[/tex]
[tex]\log _{10}\left(\frac{I}{10^{-12}}\right)=13[/tex]
Which log rule we use here?
[tex]log_{e}a=C \implies a=e^{C}[/tex]
Therefore, we get
[tex]\frac{I}{10^{-12}}=10^{13}[/tex]
[tex]I\times10^{12}=10^{13}\\I=10[/tex]
Therefore the sound intensity is 10 watts/meter^2.
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