Calculating Decibel Increase to Reach Pain Level

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To determine how many pig callers at 90 dB are needed to reach a pain level of 120 dB, it's essential to understand the logarithmic nature of decibels. Each increase of 10 dB represents a tenfold increase in sound intensity. Therefore, to calculate the increase from 90 dB to 120 dB, a 30 dB increase is required, which corresponds to a factor of 1000 in intensity. This means that 1000 callers would be necessary to achieve the pain level of 120 dB. Understanding the equation for sound intensity in decibels is crucial for solving such problems.
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Homework Statement


In a pig-calling contest, a caller produces a sound with an intensity level of 90 dB. How many such callers would be required to reach the pain level of 120 dB?


Homework Equations


i don't know


The Attempt at a Solution


The way I understood it from my book, for every multiple of ten increase in decibels, you have to multiply by that number, so i multiplied 1 by 3, to get 3, but that isn't right.
 
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No, for every factor of ten increase in the sound intensity, you add 10 dB.
 
So how do i find how many callers it takes to go from 90-120dB
 
That's why listing the relevant equations is important, rather than just saying "I don't know." What is the *definition* of sound intensity in decibels? That equation is certainly given in your book, and is obviously a piece of information that you need to know before you can begin to answer questions about sound intensities in dB. Post that equation, and tell me if you are able to see, from it, how to proceed. If not, I can provide further hints.
 
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