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Algebra
Question

The intensity levels \( I \) of two earthquakes me...

The intensity levels \( I \) of two earthquakes measured on a seismograph can be compared by the formula 

\( \log ( \frac { I _ { 1 } } { I _ { 2 } } ) = M _ { 1 } - M _ { 2 } \) 

using the common (base 10) logarithm and where \( M \) is the magnitude given by the Richter Scale. In August \( 2009 \) , an earthquake of magnitude \( 6.1 \) hit Honshu, Japan. In March \( 2011 \) , that same region experienced yet another, more devastating earthquake, this time with a magnitude of \( 9.0 \) - \( ^ { [ 1 ] } \) How many times greater was the intensity of the \( 2011 \) earthquake? Round to the nearest whole number. 

Answer

794

Solution
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