the magnitude, m, of an earthquake is defined to be $m = log\frac{i}{s}$, where i is the intensity of the…

the magnitude, m, of an earthquake is defined to be $m = log\frac{i}{s}$, 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. what is the magnitude of an earthquake that is 35 times more intense than a standard earthquake? use a calculator. round your answer to the nearest tenth.\n-1.5\n-0.5\n1.5\n3.6

the magnitude, m, of an earthquake is defined to be $m = log\frac{i}{s}$, 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. what is the magnitude of an earthquake that is 35 times more intense than a standard earthquake? use a calculator. round your answer to the nearest tenth.\n-1.5\n-0.5\n1.5\n3.6

Answer

Answer:

C. 1.5

Explanation:

Step1: Establecer el valor de I

Dado que el terremoto es 35 veces más intenso que un terremoto estándar, entonces $I = 35S$.

Step2: Sustituir I en la fórmula

Sustituimos $I = 35S$ en la fórmula $M=\log\frac{I}{S}$. Obtenemos $M=\log\frac{35S}{S}$.

Step3: Simplificar la expresión

$\frac{35S}{S}=35$, entonces $M = \log(35)$.

Step4: Calcular el logaritmo

Usando una calculadora, $\log(35)\approx1.544$. Redondeando a la décima más cercana, $M\approx1.5$.