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12-08-2018
Mathematics

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What is the value of x when the Richter scale rating is 7.8? Round your answer to the nearest hundredth.

Respuesta :

12-08-2018

Hello,

We have to use this relation : [tex] \text{rating}=\log(\text{ratio}) [/tex]

He we have :

[tex] \log_{10}(x)=7.8\\\\\text{then }x=10^{\log_{10}(x)}\\\\\rightarrow x=10^{7.8}\\\\\rightarrow x=6.309\times 10^{7}\\\rightarrow x=6.31\times 10^{7} [/tex]

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