SOLUTION: the intensity of an earthquake is rated using the richter scale. the richter scale rating of an earthquake of intensity x is given by​ R=log10 x/x0, where x0 is the intensity

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: the intensity of an earthquake is rated using the richter scale. the richter scale rating of an earthquake of intensity x is given by​ R=log10 x/x0, where x0 is the intensity      Log On


   

Question 1096001: the intensity of an earthquake is rated using the richter scale. the richter scale rating of an earthquake of intensity x is given by​ R=log10 x/x0, where x0 is the intensity of an earthquake of a certain small​ size, 4.8. earthquake a had a richter scale rating of 6.4, and earthquake b had a rating of 7.1. how much more powerful was the second earthquake than the first​ one?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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the intensity of an earthquake is rated using the richter scale.
the richter scale rating of an earthquake of intensity x is given by:
R+=+log%2810%2C%28X%2FXo%29%29, where Xo is the intensity of an earthquake of a certain small; size, 4.8.
R+=+log%2810%2C%28X%2F4.8%29%29,
earthquake a had a richter scale rating of 6.4, and earthquake b had a rating of 7.1.
Find the intensity of the first earthquake
6.4+=+log%2810%2C%28X%2F4.8%29%29,
the exponent equiv
X%2F4.8 = 10%5E6.4
X = 4.8%2810%5E6.4%29
Do the same with the 2nd earthquake
7.1+=+log%2810%2C%28X%2F4.8%29%29,
the exponent equiv
X%2F4.8 = 10%5E7.1
X = 4.8%2810%5E7.1%29
:
how much more powerful was the second earthquake than the first; one?
%284.8%2810%5E7.1%29%29%2F%284.8%2810%5E6.4%29%29 = 10%5E%28%287.1-6.4%29%29 = 10%5E.7 ~ 5
The 2nd earthquake was 5 times as powerful as the 1st