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www.algebra.com/algebra/homework/Exponential-and-logarithmic-functions/Exponential-and-logarithmic-functions.faq.question.189330.html
The level of sound V in decibels with an intensity I can be models by V=10log(I/10^-16) where I is intensity watts per centimeter. Loud music can have an intensity of 10^-5 watts per centimeter. Find the level of sound of loud music.
2 answers
all you have to do is replace I with 10^-5, then do the arithmetic
V=10log(I/10^-16)
V=10log(10^-5/10^-16)
= 10log(10^11)
= 11(10log 10)
= 11(10)(1) = 110 decibels
V=10log(I/10^-16)
V=10log(10^-5/10^-16)
= 10log(10^11)
= 11(10log 10)
= 11(10)(1) = 110 decibels