- #1
Macleef
- 30
- 0
Homework Statement
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Homework Equations
M = log(I_i / I_o)
The Attempt at a Solution
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Logarithmic Scale Calculation | Ritcher Scale Homework Example
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SUMMARY
The discussion focuses on calculating logarithmic scales, specifically using the Richter scale formula M = log(I_i / I_o). Participants emphasize simplifying the problem by expressing I_X in terms of I_E and eliminating I_X from the equation. They highlight the importance of understanding how multiplication within a logarithmic function translates to addition outside of it, which is crucial for solving logarithmic equations effectively.
PREREQUISITES- Understanding of logarithmic functions and their properties
- Familiarity with the Richter scale and its application in measuring earthquake intensity
- Basic algebra skills for manipulating equations
- Knowledge of scientific notation for expressing intensity values
- Study logarithmic properties and their applications in real-world scenarios
- Learn about the Richter scale and its significance in seismology
- Practice solving logarithmic equations with various examples
- Explore advanced logarithmic functions and their implications in different fields
Students studying physics or mathematics, educators teaching logarithmic functions, and professionals in seismology or related fields seeking to understand logarithmic scale calculations.
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M = log(I_i / I_o)
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- #2
wildman
- 29
- 4
No, no... you are making it far too complicated.
What is I_X in terms of I_E ? In other words, what number do you have to multiply I_E by to get I_X?
Then get rid of I_X in your equation.
Finally think about what multiplication inside of a log function maps to on the outside. I'll give you a clue on the last one and it is +.
What is I_X in terms of I_E ? In other words, what number do you have to multiply I_E by to get I_X?
Then get rid of I_X in your equation.
Finally think about what multiplication inside of a log function maps to on the outside. I'll give you a clue on the last one and it is +.
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