Question
THe loudness L of a sound is measured by L=10 log10^R where R is the sound's relative intensity. One person talks with a relative intensity of 10^6 or 60 decibels. How much louder would 100 people be ,talking with the same intensity.
So would I just use L= 10log10^1/10^6? and then multiply by 100 when done. I am supposed to use the Quotient property of logarithms.
So would I just use L= 10log10^1/10^6? and then multiply by 100 when done. I am supposed to use the Quotient property of logarithms.
Answers
I1 = 10^6.
I2 = 10^2*10^6 = 10^8.
db(increase) = 10*Log(I2/I1).
db(increase) = 10*Log(10^8/10^6) = 20.
I2 = 10^2*10^6 = 10^8.
db(increase) = 10*Log(I2/I1).
db(increase) = 10*Log(10^8/10^6) = 20.
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