Question

The magnitude​ R, measured on the Richter​ scale, of an earthquake of intensity I is defined as Requalslog StartFraction Upper I Over Upper I 0 EndFraction ​, where Upper I 0 is a minimum intensity used for comparison. If the intensity of an earthquake was 10 Superscript 6.08times Upper I0​, what was the magnitude on the Richter​ scale?

Answer 1

R = 6.8

Step-by-step explanation:

Given data:

Richter scale
`R = log((I)/(I_o))`

where R - magnitude of earthquake of Richter scale

I - quake's intensity
`=  10^(6.8) * I_o`

`I_o` - minimum intensity earthquake

Plugging all information in the equation to get Richter's scale

`R = log((10^(6.8) * I_o)/(I_o))`

`R = log(10^(6.8))`

R = 6.8