Question 948537

given:

The intensity of the sound of a trumpet is {{{I=10^3}}} watts per square meter.
 The intensity of a barely audible sound {{{I[0]= 10^-12 }}} watts per square meter.
Find the decibel level of a trumpet.


{{{L(I) = 10log( I / I[0])}}}...........plug in given values

{{{L(I) = 10log(10^3/10^(-12))}}}

{{{L(I) = 10log(10^3/(1/10^12))}}}

{{{L(I) = 10log(10^3*10^12)}}} 


{{{L(I) = 10log(10^(3+12))}}} 


{{{L(I) = 10log(10^15)}}} ......{{{log(10^15)=15}}}

{{{L(I) = 10*15}}}

{{{L(I) = 150}}} which is  the decibel level of a trumpet