Logarithmic Functions Mr. Markwalter
Jan 12, 2016
LogarithmicFunctions
Mr. Markwalter
LogarithmicFunctions
Mr. Markwalter
It’s a log jam…
Homecoming
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Cute Baby Foxes!
Also
Quiz!
15 minute maximum.All desks clear.Silence until I have all quizzes back in.
Quiz
Today’s Topic
AAAAAplicationsOf logarithms.
In 2001, there was an earthquake in Gujarat India. It measured 7.9 on the Richter scale.
Earthquakes
In 1999, there was an earthquake in Athens, Greece. It measured 5.9 on the Richter scale.
Earthquakes
In 2001, there was an earthquake in Gujarat India. It measured 7.9 on the Richter scale. In 1999, there was an earthquake in Athens, Greece. It measured 5.9 on the Richter scale. How many times more severe was the 2001 earthquake than the one in Athens?
Earthquakes.
a=amplitude in micrometersT= the period (don’t worry about this)B accounts for the weakening of the wave
What is amplitude?
Let’s see how the Richter scale works.
Amplitude measures the severity.Let’s call the amplitude of the Gujarat
earthquake a1 and the Athens earthquake a2.
We want a1/a2
Earthquake!
Let’s start with this…
Earthquaker!
a1/a2=100
The Gujarat earthquake was 100 times more severe.
The difference in Richter number was 2.102=100
Coincidence? Let’ let Bill explain.
Earthquaker!
Bill Nye
Acidity!
The measure of the concentration of hydrogen ions (in moles per liter).
Acidity
Psst. A mole is unit, or have you heard?
pH=-log(H+)
H+ = the hydrogen ion concentration More acidic= higher concentration= lower
pH
Acidity
Some vinegar has a pH of 2.4. Some baking soda has a pH of 8.4
What are the hydrogen ion concentrations? How many times greater is the hydrogen ion
concentration of the vinegar than the baking soda?
Acidity
A pretty strong acid has a pH of 1.8 while a base has a pH of 9.8.
What are the hydrogen ion concentrations? How many times greater is the hydrogen ion
concentration of the acid than the base?
One more test
Option A: I want to start out slow and work my way up.
Option B: I feel pretty comfortable with this and am ready to try more.
15 minutes of practice. 5 minutes of review.
Worksheet
An earthquake in Peru was 10000 times more severe than an Earthquake in China. If the earthquake in China scored 2.5 on the Richter scale, what was the score of the Peru earthquake?
Challenge
Unit 3 Test Corrections Due TODAY
Test Wednesday Also, the
Benchmark Homework
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