The Richter Scale gives a mathematical model for the magnitudeof an earthquake in terms of the ratio of the amplitude of anearthquake wave (also known as the intensity of an earthquake) tothe amplitude of the smallest detectable wave. If we denote themagnitude of the earthquake by R, the intensity (also known as theamplitude of the earthquake wave) of the earthquake by A, and theamplitude of the smallest detectable wave by S, then we can modelthese values by the formula R=log(A/S) In 1906, San Francisco feltthe impact of an earthquake with a magnitude of 7.8. Many punditsclaim that the worst is yet to come, with an earthquake 891,690times as intense as the 1989 earthquake ready to hit San Francisco.If the pundits ability to predict such earthquakes were correct,what would be the magnitude of their claimed earthquake? Round youranswer to the nearest tenth.
