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\(\pi\)
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\(\frac{a}{b}\)
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\(\sqrt{\,}\)
\(a^{b}\)
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The magnitude \(M\) of an earthquake on the Richter scale is given by \(M = \frac{2}{3} \log_{10} \left( \frac{E}{E_0} \right)\), where \(E\) is the energy released (in joules) and \(E_0 = 10^{4.4}\) is a reference energy.
Find the magnitude of an earthquake that releases \(10^{13}\) joules of energy.
How much energy is released by an earthquake of magnitude 8.0?
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