The value of x when the Richter scale rating is 7.9 is 79432823.47.
The Richter scale rating is 7.9.
We need to find the value of x.
If no base is stated, then assume base 10.
[tex]log(x)=log_{10}(x)[/tex]
We know that [tex]a=log_{b} c[/tex] translates to [tex]b^{a}=c[/tex].
Now, [tex]r=log(x)[/tex] or [tex]r=log_{10} (x)[/tex] translates to [tex]10^{r} =x[/tex].
Here, r=7.9
So, [tex]10^{7.9} =x[/tex]
x=79432823.472428
Now, rounding the answer to the nearest hundredth is 79432823.47.
Therefore, the value of x when the Richter scale rating is 7.9 is 79432823.47.
To learn more about the Richter scale visit:
https://brainly.com/question/13886505.
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