Question

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

Answer 1

Hello,

We have to use this relation : $\text{rating}=\log(\text{ratio})$

He we have :

$\log_{10}(x)=7.8\\\\\text{then }x=10^{\log_{10}(x)}\\\\\rightarrow x=10^{7.8}\\\\\rightarrow x=6.309\times 10^{7}\\\rightarrow x=6.31\times 10^{7}$