Question 1154901

{{{R=log(I/I[o])}}} for Richter scale:

The strongest earthquake ever to strike Japan occurred in 1933 and measure {{{R[1]=8.4}}} on the Richter scale. 

{{{8.4=log(I/I[o])}}}

since neither{{{ I}}} nor  {{{I[o]}}} is given, let {{{I/I[o]=I[1] }}} 

{{{8.4=log(I[1])}}}

{{{I[1]=10^8.4}}}



1933 quake than the one in May 1983 which measured {{{R[2]=7.1}}} on the Richter scale?

{{{7.1=log(I/I[o])}}}-> let {{{I/I[o]}}} be {{{I[2]}}}

{{{I[2]=10^7.1}}}


How many times more severe was this 1933 quake than the one in May 1983:

{{{I[1]/I[2]=10^8.4/10^7.1}}}

{{{I[1]/I[2]=10^(8.4-7.1)}}}

{{{I[1]/I[2]=10^(1.3)}}}

{{{I[1]/I[2]=19.952}}}=> 

This means that the magnitude {{{8.4}}} earthquake is {{{19.952}}} times more intense than the{{{ 7.1}}} magnitude earthquake.