An earthquake that hit a city had a magnitude of 5.2 on the Richter scale. What would be the magnitude of a quake that was 4 times as intense?
Added by Susan S.
Step 1
The formula to calculate the magnitude of an earthquake based on its intensity compared to a reference earthquake is: \[ M = \log_{10} \frac{I}{I_0} \] where \( M \) is the magnitude, \( I \) is the intensity of the earthquake, and \( I_0 \) is the intensity of a Show more…
Show all steps
Close
Your feedback will help us improve your experience
Adi S and 50 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
What is the magnitude of an earthquake 1140 times as intense as a standard earthquake?
Adi S.
The 1985 Mexico City earthquake had a magnitude of 8.1 on the Richter scale. The 1976 earthquake in Tangshan, China, was 1.26 times as intense. What was the magnitude of the Tangshan earthquake?
Exponential and Logarithmic Functions
Modeling with Exponential and Logarithmic Functions
If one earthquake is 20 times as intense as another, how much larger is its magnitude on the Richter scale?
Suzanne W.
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD