Correct
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.
Answer
How to enter your answer (opens in new window)
Keypad
Keyboard Shortcuts
Final Answer: The Richter Scale ranking of this earthquake is \(\boxed{4.9}\).
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 \(\boxed{4.9}\).