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If an earthquake is 80000 times as intense as a 0 -level earthquake, what is the Richter Scale ranking of this earthquake? Round off your answer to one decimal place.

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Final Answer: The Richter Scale ranking of this earthquake is \(\boxed{4.9}\).

Steps

Step 1 :The Richter Scale is a logarithmic scale used to measure the intensity of earthquakes. The formula to calculate the Richter Scale ranking is: \(R = \log_{10}(I/I0)\) where: \(R\) is the Richter Scale ranking, \(I\) is the intensity of the earthquake, \(I0\) is the intensity of a 0-level earthquake.

Step 2 :In this case, \(I/I0 = 80000\), so we need to calculate \(\log_{10}(80000)\).

Step 3 :Using a calculator, we find that \(\log_{10}(80000)\) is approximately 4.9.

Step 4 :Final Answer: The Richter Scale ranking of this earthquake is \(\boxed{4.9}\).

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