Exponential & Logarithm Functions
Early in the century the earthquake in San Francisco registered 8.5 on the Richter scale. In the same year, another earthquake was recorded in South America that was four times more intense. What was the magnitude of the earthquake in South America, rounded to the nearest one decimal place?
1 Answer
Let $M_{SF}$ and $M_{SA}$ be magnitude of the earthquake in San Francisco and South America, respectively. Then
\[M_{SA}=\log\frac{I_{SA}}{S}=\log\frac{4 I_{SF}}{S}=\log 4+\log\frac{I_{SF}}{S}\]
\[=\log 4+8.5=0.602+8.5\approx9.1\]
Thus
\[M_{SA} =9.1 \text{Richter scale}.\]

133
Join Matchmaticians Affiliate Marketing
Program to earn up to a 50% commission on every question that your affiliated users ask or answer.
- 1 Answer
- 264 views
- Pro Bono
Related Questions
- Optimization of a multi-objective function
- Functions + mean value theorem
- Find H $\langle H \rangle=P+\frac{1}{AD} \sum_{i=0}^{D} ( \sum_{j=0}^{A} ((j-i)Step(j-i)))$
- I need help on this problem! it's trigonometric functions I believe. If you could show your work that would be even better! Thank you guys
- Find an expression for the total area of the figure expressed by x.
- Domain question
- A generator at a regional Power Station produces an alternating voltage, according to the function, 𝑉 below:
- Find the composition function $fog(x)$