Question

The Richter scale is used for measuring the magnitude of an earthquake. The Richter magnitude is given R = 0.67log(0.37E) + 1.46 where E is the energy (in kilowatt hours) released by the earthquake. If an earthquake release 15,500,000,000 kilowatt hours of energy, what is the earthquake's magnitude?

Answer 1

7.9982

Explanation:

-The function for an earthquake's magnitude is given by R = 0.67log(0.37E) + 1.46

-E is energy in kwh.

#For 15,500,000,000 kilowatt hours the magnitude would be:

`R = 0.67\ log(0.37E) + 1.46,\ \ E=15,500,000,000 \ kwh\\\\\therefore R=0.67 \ log(0.37* 15,500,000,000)+1.46\\\\\\=7.9982`

Hence, the earthquakes magnitude is 7.9982