document.write( "Question 1189653: Hi, any chance someone could help me out with this problem? \r
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Algebra.Com's Answer #821070 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
the formula is e(m) = (10^1.5)^m.
\n" ); document.write( "e(m) is the energy in kilowatt hours.
\n" ); document.write( "m is the magnitude.\r
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\n" ); document.write( "\n" ); document.write( "(8a)
\n" ); document.write( "formula is e(9) = (10^1.5)^9 = 10^(1.5*9) = 3.16227766 * 10^13.
\n" ); document.write( "round to 3.2 * 10^13.\r
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\n" ); document.write( "\n" ); document.write( "(8b)
\n" ); document.write( "formula is e(6.9) = (10^1.5)^6.9 = 10^(1.5*6.9) = 2.238721139 * 10^10.
\n" ); document.write( "round to 2.2 * 10^10.\r
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\n" ); document.write( "\n" ); document.write( "(8c)
\n" ); document.write( "(3.16227766 * 10^13) / (2.238721139 * 10^10) = 1412.537545.
\n" ); document.write( "round to 1413.\r
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\n" ); document.write( "\n" ); document.write( "(8d)
\n" ); document.write( "earthquake released 3,981,000 kilowatts of energy.
\n" ); document.write( "formula of e(m) = (10^1.5)^m becomes:
\n" ); document.write( "3,981,000 = (10^1.5)^m = 10^(1.5*m)
\n" ); document.write( "take the log of both sides of the equation to get:
\n" ); document.write( "log(3,981,000) = log(10^(1.5*m))
\n" ); document.write( "this becomes:
\n" ); document.write( "log(3,981,000) = 1.5 * m * log(10) which becomes:
\n" ); document.write( "log(3,981,000) = 1.5 * m
\n" ); document.write( "solve for m to get:
\n" ); document.write( "m = log(3,981,000) / 1.5 = 4.399994785.
\n" ); document.write( "round to 4.4.\r
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\n" ); document.write( "\n" ); document.write( "let me know if you have any questions.\r
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\n" ); document.write( "\n" ); document.write( "theo\r
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