The magnitude of an earthquake, measured on the Richter scale, is log I/I₀, where I is the amplitude registered on a seismograph 100 km from the epicenter of the earthquake, and I₀ is the amplitude of an earthquake of a certain (small) size. On August 24, 2014, the Napa Valley in California was shaken by an
earthquake that measured 6.0 on the Richter scale.

(a) Express this reading in terms of I₀.

(b) On April 1, 2014, a quake measuring 8.2 on the Richter scale struck off the coast of Chile. It was the largest earthquake in 2014. Express the magnitude of an 8.2 reading in terms of I₀ to the nearest hundred thousand.

(c) How much greater than the force of the 6.0 earthquake was the force of the earthquake that measured 8.2?