The Richter scale is a logarithmic scale for measuring the total energy released

Question

The Richter scale is a logarithmic scale for measuring the total energy released in an earthquake. The Richter magnitude M is defined by the equation m=2/3 log (E/E0) where E0 is a reference energy equal to 25,000 J.
(a) How much energy was released in the 1994 Los Angeles earthquake, which registered 6.8 on the Richter scale?
(b) By what factor would the energy of this quake have to be increased in order to have a magnitude of 7.5, or of 9.5?

The GIVEN answer to (a) is 3.96e14 J (How do I get this answer?)
THE GIVEN ANSWER for (b) is 11.2 and 11200 (how do I get this exact answer?)

Explanation / Answer

6.8=2/3*log(E/E0) E=10^10.2*25000 =3.96e14 b)E=E0*e(1.5m) solve this for 2nd one

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.