the magnitude, m, of an earthquake is defined...
the magnitude, m, of an earthquake is defined to be m = log 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 1,000 times more intense than a standard earthquake? use a calculator. round your answer to the nearest tenth. 2 3 4.5 6.9
Answer
# Explanation:
## Step1: Definir valores
Dado que el terremoto es 1000 veces más intenso que el estándar, entonces $I = 1000S$.
## Step2: Sustituir en la fórmula
Sustituimos $I = 1000S$ en la fórmula $M=\log\frac{I}{S}$, obteniendo $M=\log\frac{1000S}{S}$.
## Step3: Simplificar la expresión
$\frac{1000S}{S}=1000$, entonces $M = \log(1000)$.
## Step4: Calcular el logaritmo
Sabemos que $\log(1000)=\log(10^{3}) = 3$.
# Answer:
B. 3