Single goose sounds a loud warning when an intruder enters the farmyard. Some distance from the goose, you measure the sound level of the warning to be 81.0 dB. 1) If a gaggle of 26 identical geese is present, and they are all approximately the same distance from you, what will the collective sound level be if they all sound off simultaneously

The sound level of the 26 geese is  

Explanation:

From the question we are told that

    The  sound level is

     The number of geese is

Generally the intensity level of sound is mathematically represented as

        The intensity of sound level in dB  for one  goose is mathematically represented as

Where I_o is the  threshold level of intensity with value  

            is the intensity for one goose in

For 26 geese the intensity would be  

   Then  the intensity of 26 geese in dB is  

 From the law of logarithm we have that

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