The magnitude on the Richter scale of an earthquake as a
function of its intensity is given by
where is some fixed reference level of intensity.
The 1906 San Francisco earthquake had a magnitude of 8.3 on the
Richter scale. Suppose that at the same time in South America there
was an earthquake with magnitude 4.2 that caused only minor damage.
How many times more intense was the San Francisco earthquake than the
South American one?
Answer:
Hint: You don't need to know what is. Plug in
the respective magnitudes and use the log properties you know to
compare the resulting values for in terms of this .