Logarithmic Scale Calculation | Ritcher Scale Homework Example

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Macleef
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Homework Statement



See image

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 [tex]I_X[/tex] in terms of [tex]I_E[/tex] ? In other words, what number do you have to multiply [tex]I_E[/tex] by to get [tex]I_X[/tex]?
Then get rid of [tex]I_X[/tex] 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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