Mexico City in 1985: seismographic reading of 125,892 millimeters 100 kilometers from the center.

In problem use the following discussion: The Richter scale is one way of converting seismographic readings into numbers that provide an easy reference for measuring the magnitude M of an earthquake. All earthquakes are compared to a zero-level earthquake whose seismographic reading measures 0.001 millimeter at a distance of 100 kilometers from the epicenter. An earthquake whose seismographic reading measures x millimeters has magnitude M(x) given by

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where x₀ = 10^-3 is the reading of a zero-level earthquake the same distance from its epicenter. In problems, determine the magnitude of each earthquake.

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M(x) = log(