The Richter scale is used to measure the intensity of earthquakes, where intensity cor- responds to the

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The Richter scale is used to measure the intensity of earthquakes, where intensity cor- responds to the amount of energy released by an earthquake. If an earthquake has an intensity of x, then its magnitude, as computed by the Richter scale, is given by R(x) = log(x/I0), where I0 is the intensity of a small measurable earthquake. 

(a) On July 26, 1963, an earthquake in Yugoslavia had a magnitude of 6.0 on the Richter scale, and on August 19, 1977, an earthquake in Indonesia measured 8.0. Find the intensity x for each of these earthquakes if I0 = 1. 

(b) How many times more intense was the Indonesian earthquake than the Yugoslavian earthquake?

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