The equation represents the magnitude of an earthquake that is 10 times more intense than a standard earthquake is [tex]\rm M = log\left ( \dfrac{10S}{S}\right )[/tex].
Given
The magnitude, M, of an earthquake is defined to be M = log StartFraction I Over S EndFraction, where I is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and S is the intensity of a "standard" earthquake, which is barely detectable.
The magnitude of an earthquake is a measure of the energy it releases.
For an earthquake with 1,000 times more intense than a standard earthquake.
The equation represents the magnitude of an earthquake that is 10 times more intense than a standard earthquake is;
[tex]\rm M =log \dfrac{I}{S}\\\\M = log \dfrac{10s}{s}\\\\M=log 10\\\\M =1[/tex]
Hence, the equation represents the magnitude of an earthquake that is 10 times more intense than a standard earthquake is [tex]\rm M = log\left ( \dfrac{10S}{S}\right )[/tex].
To know more about the magnitude of earthquakes click the link given below.
https://brainly.com/question/1337665
