Question

PLEASE HELP !! EXPLAIN WITH STEPS

The magnitude, M, of an earthquake is represented by the equation M=2/3log (E/E0) where E is the amount of energy released by the earthquake in joules and E0=10^4.4 is the assigned minimal measure released by an earthquake.
To the nearest tenth, what would be the magnitude of an earthquake releasing 2.1⋅ 10^14 joules of energy?

Answer 1

4.5*10^12

Explanation:

5.5=2/3log(E/10^4.4)

8.25=log(E10^4.4)

10^8.25=E/10^4.4

E=10^4.4*10^8.25

E=10^12*4.5