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 = log(10,(X/Xo))}}}, where Xo is the intensity of an earthquake of a certain small; size, 4.8.
{{{R = log(10,(X/4.8))}}}, 
 earthquake a had a richter scale rating of 6.4, and earthquake b had a rating of 7.1.
Find the intensity of the first earthquake
{{{6.4 = log(10,(X/4.8))}}},
the exponent equiv
{{{X/4.8}}} = {{{10^6.4}}}
X = {{{4.8(10^6.4)}}}
Do the same with the 2nd earthquake
{{{7.1 = log(10,(X/4.8))}}},
the exponent equiv
{{{X/4.8}}} = {{{10^7.1}}}
X = {{{4.8(10^7.1)}}}
: 
 how much more powerful was the second earthquake than the first; one?
{{{(4.8(10^7.1))/(4.8(10^6.4))}}} = {{{10^((7.1-6.4))}}} = {{{10^.7}}} ~ 5 
The 2nd earthquake was 5 times as powerful as the 1st