document.write( "Question 1191775: How many times more powerful was the earthquake in Alaska, with a magnitude of 9.2 on the Richter scale, compared to the San Francisco earthquake, which had a magnitude of 7.9 on the Richter scale? \n" ); document.write( "
Algebra.Com's Answer #823611 by math_tutor2020(3816)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Let's do an example problem before tackling this current one.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let's say we want to compare a 5.0 to a 6.0 on the Richter scale. \n" ); document.write( "The second value is 10 times greater because 6-5 = 1 and 10^1 = 10.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Another example: \n" ); document.write( "Comparing a 4.0 to a 7.0 means 7-4 = 3 and 10^3 = 1000. So the 7.0 magnitude is 1000 times greater than the 4.0\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now onto the current problem: \n" ); document.write( "As the examples above show, we first subtract the magnitudes to get 9.2 - 7.9 = 1.3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then use a calculator to get \n" ); document.write( "10^(1.3) = 19.9526 \n" ); document.write( "which is approximate \n" ); document.write( "The decimal digits go on forever without a known pattern. This decimal value is irrational. \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: 19.9526 roughly \n" ); document.write( "Round this however you need \n" ); document.write( " \n" ); document.write( " |