Answer:
[tex]2.91\times 10^{15}[/tex]
Step-by-step explanation:
Since, an earthquake has a Richter scale magnitude,
[tex]M=log(\frac{I}{I_0})[/tex]
Where, I is the intensity of the earthquake,
While, [tex]I_0[/tex] is the reference intensity,
Given, M = 5.6,
And, [tex]I_0=7.3 \times 10^9[/tex]
[tex]\implies 5.6 = log(\frac{I}{7.3 \times 10^9})[/tex]
[tex]5.6=log I - log(7.3\times 10^9)[/tex] ( Because, log (a/b) = log a - log b ),
[tex]5.6 = log I - 9.86332286012[/tex]
[tex]log I = 15.4633228601[/tex]
[tex]\implies I=10^{15.4633228601}=2.9061823449\times 10^{15}\approx 2.91\times 10^{15}[/tex]
Hence, the intensity of the earthquake is [tex]2.91\times 10^{15}[/tex].
