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 M(x) = log( x/x0) where x0 = 10-3 is the reading of a zero-level earthquake the same distance from its epicenter. Determine the magnitude of each earthquake. Mexico City in 1985: seismographic reading of 125,892 millimeters 100 kilometers from the center

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Question

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

M(x) = log( x/x0)

where x0 = 10-3 is the reading of a zero-level earthquake the same distance from its epicenter. Determine the magnitude of each earthquake.

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

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