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Logarithms
Newton’s Law of Cooling
Why do we need to know this
stuff?
Compound interest
Earthquakes
earth·quake (ûrth kw k) n. A sudden movement of
the earth's crust caused by the release of stress
accumulated along geologic faults or by volcanic
activity.
How is an earthquake
measured?
The Richter scale is used to measure the
intensity of an earthquake. Logarithms (based
10) are used to calculate that measurement.
This means that each level is 10 times more
intense than the previous level.
Yellowstone National Park
Between 1000 and 2000
earthquakes have been recorded
each year since 2004
These are mainly due to the
Super volcano located below the
park.
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How is pH measured?
The pH scale measures the concentration of
hydrogen and hydroxide ions
to determine how acidic or basic a solution is.
The scale ranges from 0 to 14. The closer a
number is to zero the more acidic it is.
Because pH is based on Logarithms a decrease
of 1 means the solution is 10 times more acidic.
Conversely an increase of 1 means 10 times
more basic. Water is considered neither acidic
nor basic and has a pH of 7.
Yellowstone National Park
Is famous for it’s geothermal sites. Many of these
sites were created due to the earthquakes caused by
the volcano. The temperatures of these sites are
often high enough to cause severe burns and often
death if an animal or human falls into them. Many of
the sites also are low in pH
“Deaths in Yellowstone”
“Accidents and Foolhardiness in the
First National Park”
By Lee H. Whittlesey
(reading excerpts from the book: p. 3-4; p. 5)
The mud volcano and sulfur caldron areas, north of Yellowstone
Lake, comprise the most acidic section of Yellowstone National
Park. Mud pots are high-temperature geothermal hot springs or
fumaroles of bubbling mud. The temperature of these areas,
such as the Black Dragon Cauldron, can exceed 192 degrees
Fahrenheit due to volcanic activities. The pH of these areas,
such as in the case of sulfur caldron, can also be as low as 1.2,
nearly identical to the pH of battery acid.
http://microbewiki.kenyon.edu/index.php/Yellowstone_Acid_P
ools
Newton’s Law of Cooling
T (t) = Te + (T0 − Te ) e - kt
This formula can be used to
determine the time of death of
a murder victim ( among
other things). You would
need to solve for t which
requires using logarithms.
Compound Interest
You have worked with the
Compound Interest formula
𝑟 𝑛𝑡
𝐴 =𝑃 1+
𝑛
To solve for time (t) you will
need to use logarithms.