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I get the basic relationship (I think), but I'm confused about how it could be presented on the MCAT.
For instance, they could give you I in terms of I0. So, when I=1000 I0, then 10log(1000/1) = 10*log1000 = 10*3 = 30decibels.
However, if they give you some off the wall number for Intensity, like 50000, then you have (5*10^4)/(10^-12) = 5*10^16. 10log(5*10^16) = 10*(log5+log(10^16)) = 10*(16+.7) = 167decibels.
This is just arithmetic though, not MCAT type stuff.
For instance, they could give you I in terms of I0. So, when I=1000 I0, then 10log(1000/1) = 10*log1000 = 10*3 = 30decibels.
However, if they give you some off the wall number for Intensity, like 50000, then you have (5*10^4)/(10^-12) = 5*10^16. 10log(5*10^16) = 10*(log5+log(10^16)) = 10*(16+.7) = 167decibels.
This is just arithmetic though, not MCAT type stuff.