Logarithmic Scale Calculation | Ritcher Scale Homework Example

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The discussion focuses on solving a homework problem related to the logarithmic scale and the Richter scale. The key equation provided is M = log(I_i / I_o), where I_i and I_o represent different intensity values. Participants suggest simplifying the problem by expressing I_X in terms of I_E and eliminating I_X from the equation. The conversation emphasizes understanding how multiplication within a logarithmic function translates to addition outside of it. This approach aids in correctly applying logarithmic principles to solve the problem effectively.
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Homework Statement



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Homework Equations



M = log(I_i / I_o)

The Attempt at a Solution



See image

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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 +.
 
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