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Lesson 9.1
SWBAT convert between
logarithm and exponential form
Agenda
•Do Now
Lecture From textbook: 8-3, p.454-457 Online text:
7-5
•Guided Practice
•Independent Practice
•Exit Ticket
•Closing
2/21/2017
Zombies Attack Dallas!!!
On August 9th 2016, the start of the new school year at NHP,
2 zombies were unleashed accidently by a group of scientists.
They each bite 10 people a day. Uplift has informed the
parents that once half of the population of Dallas “turns” to
zombies, our school will close indefinitely.
How many days will it take for the school to close when the
equation to model this is situation is 2 10
629,000?
I. Logarithms Equal Exponents
A. Exponential and logarithmic function relationship
1. Exponential function:
2. The inverse is
3. Use logarithms!
2
2 but how do we solve for y?
2 →
log
B. The logarithm form:
1.
2.
→ y
log
is read “log base b of x is y”
3. Remember
1
0
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B. Examples
1. Write the logarithmic form of the equation
① 100 10
② 81 3
2. Evaluate logarithm
①
16
②
Agenda
•Do Now
•Lecture
•Guided Practice
•Independent Practice
•Exit Ticket
•Closing
2/21/2017
Snappy Practice
• You have (10) minutes to complete as many of the following
problems as possible.
Write in log form
Evaluate the log
1. 36
4. log 125
6
2.
5. log
3.
6. log
a
Snappy Practice
• You have (10) minutes to complete as many of the following
problems as possible. Check answers on side board.
Write in log form
1. 36
2.
3.
6
Evaluate the log
36
2
3
4. log 125
a
3
5. log
2
6. log
4
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Agenda
•Do Now
•Lecture
•Guided Practice
•Independent Practice
•Exit Ticket
•Closing
Independent Practice –20 minutes
•Silently and independently: if you have a question,
raise your hand. If I am speaking with another student,
you may quietly ask your elbow partner
•If you are completely lost, go to back board.
•When complete, I will sign your paper. You may begin
the exit ticket
2/21/2017
Write each equation into log form.
Evaluate
1.49
6.
2. 10
7
3. 4
1000
7.
16
9.
8.
4.
10.
5.
13.
2
97
7
4
Write into exponential form – do not simplify
11.
2
12. log 10
1
14.
7