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Rewriting and Solving a Real-World Exponential Model

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The amount of energy released from one earthquake was 500 times greater than the amount of energy released from another. The equation 10 x =500 10^{x} = 500 represents this situation, where x x is the difference in magnitudes on the Richter Scale. To the nearest thousandth, what was the difference in magnitudes?

OpenStax Algebra and Trigonometry 2e, 6.3 Logarithmic Functions, exercise 22

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.