what is the loudness in decibels of a sound 10 billion times

what is the loudness, in decibels, of a sound 10 billion times as loud as the softest sound?
what is the loudness, in decibels, of a sound 10 billion times as loud as the softest sound?
what is the loudness, in decibels, of a sound 10 billion times as loud as the softest sound?

Solution

loudness is given by

dB = 10*log (I1/I0)

10 billion = 1*10^10

I1 = 10^10*I0

dB = 10*log (10^10*I0/I0)

dB = 10*10*log 10

dB = 100 dB

 what is the loudness, in decibels, of a sound 10 billion times as loud as the softest sound? what is the loudness, in decibels, of a sound 10 billion times as

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