$\"\"$

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a.

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The magnitude $\"\"$ .

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The quotient property of logarithm : $\"\"$ .

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$\"\"$

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The power property of logarithm : $\"\"$

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$\"\"$ .

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The property of logarithm is : $\"\"$ .

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$\"\"$ . $\"\"$

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b.

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Find magnitude of earthquake.

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The energy released by an earthquake is $\"\"$ joules.

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$ .

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Magnitude of earthquake is $\"\"$ .

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$\"\"$

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c.

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Find how many times magnitude of Anchorage earthquake as the magnitude of Alum Rock earthquake.

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The energy released by an Alum Rock earthquake $\"\"$ joules.

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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Magnitude of Alum Rock earthquake is $\"\"$ .

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The energy released by an Anchorage earthquake $\"\"$ joules.

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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Magnitude of Alum Rock earthquake is $\"\"$ .

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The ratio between magnitude of Anchorage earthquake and magnitude of Alum Rock earthquake is $\"\"$ .

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Thus, magnitude of Anchorage earthquake as the magnitude of Alum Rock earthquake is $\"\"$ times.

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$\"\"$

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d. Find energy released by an earthquake when the magnitude of earthquake is $\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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The definition of logarithm is : $\"\"$ if and only if $\"\"$ .

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$\"\"$

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$\"\"$ .

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When the magnitude of earthquake is $\"\"$ , energy released by an earthquake is $\"\"$ joules.

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$\"\"$

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a.

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$\"\"$ .

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b.

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$\"\"$ .

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c.

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The magnitude of Anchorage earthquake as the magnitude of Alum Rock earthquake is $\"\"$ times.

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d.

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When the magnitude of earthquake is $\"\"$ , energy released by an earthquake is $\"\"$ joules.