1. The formula for the Richter magnitude, M, of an earthquake is M = log(A) Where A is the amplitude of the earthquake and A, is the amplitude of a standard earthquake with a magnitude of 0. In 2011, an earthquake occurred off the Pacific coast of the Tōhoku region of Japan. This earthquake, which measured 9.0 on the Richter scale, is one of the five most powerful earthquakes in the world since modern record-keeping began in 1900. By comparison, one of the largest earthquakes to hit Alberta was a magnitude 4.7 earthquake. This earthquake occurred in 1984, on the border between British Columbia and Alberta, just north of Waterton Lakes National Park. Determine how many times larger in amplitude the Tōhoku earthquake was compared to the Alberta quake. Express your answer to the nearest ten thousand.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section10.3: Evaluate And Graph Logarithmic Functions
Problem 10.53TI: In 1906, San Francisco experienced an intense earthquake with a magnitude of 7.8 on the Richter...
Question
1. The formula for the Richter magnitude, M, of an earthquake is M
=
log(A)
Where A is the amplitude of the earthquake and A, is the amplitude of a standard
earthquake with a magnitude of 0.
In 2011, an earthquake occurred off the Pacific coast of the Tōhoku region of Japan. This
earthquake, which measured 9.0 on the Richter scale, is one of the five most powerful
earthquakes in the world since modern record-keeping began in 1900.
By comparison, one of the largest earthquakes to hit Alberta was a magnitude 4.7 earthquake.
This earthquake occurred in 1984, on the border between British Columbia and Alberta, just
north of Waterton Lakes National Park. Determine how many times larger in amplitude the
Tōhoku earthquake was compared to the Alberta quake.
Express your answer to the nearest ten thousand.
Transcribed Image Text:1. The formula for the Richter magnitude, M, of an earthquake is M = log(A) Where A is the amplitude of the earthquake and A, is the amplitude of a standard earthquake with a magnitude of 0. In 2011, an earthquake occurred off the Pacific coast of the Tōhoku region of Japan. This earthquake, which measured 9.0 on the Richter scale, is one of the five most powerful earthquakes in the world since modern record-keeping began in 1900. By comparison, one of the largest earthquakes to hit Alberta was a magnitude 4.7 earthquake. This earthquake occurred in 1984, on the border between British Columbia and Alberta, just north of Waterton Lakes National Park. Determine how many times larger in amplitude the Tōhoku earthquake was compared to the Alberta quake. Express your answer to the nearest ten thousand.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage