OpenStax, Algebra and Trigonometry 2e §6.6 Exponential and Logarithmic Equations · Exercise 82 · Algebra · Exponentials & logarithms

Exponential and Logarithmic Equations · Exercise 82

Use a calculator to solve the equation. Unless indicated otherwise, round all answers to the nearest ten-thousandth.

The magnitude M of an earthquake is represented by the equation $M = \frac{2}{3} l o g (\frac{E}{E _{0}})$ where $E$ is the amount of energy released by the earthquake in joules and $E_{0} = 1 0^{4.4}$ is the assigned minimal measure released by an earthquake. To the nearest hundredth, what would the magnitude be of an earthquake releasing $1.4 \cdot 1 0^{13}$ joules of energy?

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OpenStax, Algebra and Trigonometry 2e · §6.6 Exponential and Logarithmic Equations · Exercise 82

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