document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #710605 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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the intensity of an earthquake is rated using the richter scale.
\n" ); document.write( " the richter scale rating of an earthquake of intensity x is given by:
\n" ); document.write( " $\"R+=+log%2810%2C%28X%2FXo%29%29\"$ , where Xo is the intensity of an earthquake of a certain small; size, 4.8.
\n" ); document.write( " $\"R+=+log%2810%2C%28X%2F4.8%29%29\"$ ,
\n" ); document.write( " earthquake a had a richter scale rating of 6.4, and earthquake b had a rating of 7.1.
\n" ); document.write( "Find the intensity of the first earthquake
\n" ); document.write( " $\"6.4+=+log%2810%2C%28X%2F4.8%29%29\"$ ,
\n" ); document.write( "the exponent equiv
\n" ); document.write( " $\"X%2F4.8\"$ = $\"10%5E6.4\"$
\n" ); document.write( "X = $\"4.8%2810%5E6.4%29\"$
\n" ); document.write( "Do the same with the 2nd earthquake
\n" ); document.write( " $\"7.1+=+log%2810%2C%28X%2F4.8%29%29\"$ ,
\n" ); document.write( "the exponent equiv
\n" ); document.write( " $\"X%2F4.8\"$ = $\"10%5E7.1\"$
\n" ); document.write( "X = $\"4.8%2810%5E7.1%29\"$
\n" ); document.write( ":
\n" ); document.write( " how much more powerful was the second earthquake than the first; one?
\n" ); document.write( " $\"%284.8%2810%5E7.1%29%29%2F%284.8%2810%5E6.4%29%29\"$ = $\"10%5E%28%287.1-6.4%29%29\"$ = $\"10%5E.7\"$ ~ 5
\n" ); document.write( "The 2nd earthquake was 5 times as powerful as the 1st
\n" ); document.write( " \n" ); document.write( "

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