OpenStax, Algebra and Trigonometry 2e §6.7 Exponential and Logarithmic Models · Exercise 53 · Algebra · Exponentials & logarithms

Exponential and Logarithmic Models · Exercise 53

Find the value of the number shown on each logarithmic scale. Round all answers to the nearest thousandth.

Recall the formula for calculating the magnitude of an earthquake, $M = \frac{2}{3} l o g (\frac{S}{S _{0}}) .$ One earthquake has magnitude $3.9$ on the MMS scale. If a second earthquake has $750$ times as much energy as the first, find the magnitude of the second quake. Round to the nearest hundredth.

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OpenStax, Algebra and Trigonometry 2e · §6.7 Exponential and Logarithmic Models · Exercise 53

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