Today’s Agenda – May 3
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Transcript of Today’s Agenda – May 3
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Today’s Agenda – May 31. HW, Housekeeping,
Exemplars
PRE-CALCULUS 1
2. QUIZ
Due TODAY: HW #87 Handout – Rewriting Logs
Due TOMORROW: HW #88 Handout – Properties of
Logs
3. Notes:Properties of Logarithms
4. Homework/Questions/Summary
SWBAT…• Apply properties of logarithms to expand and condense expressions
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Exemplars
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Exemplars
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Exemplars
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Pre-Calc (11 /12)3/4/10 (Th)Today’s Goals:
Review Negative Exponents
Review Fractional Exponents
Apply the rules of fractional and negative exponents to logarithms
Practice applying the definition of a logarithm and the properties
What’s the rule for negative exponents?
If I see a negative exponent, I have to…
Flip it to the bottom of a fraction and make the exponent positive
3x 3
1x
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Pre-Calc (11 /12)3/4/10 (Th)Today’s Goals:
Review Negative Exponents
Review Fractional Exponents
Apply the rules of fractional and negative exponents to logarithms
Practice applying the definition of a logarithm and the properties
Practice:
1)
2)
2x 2
1x
161
214 42
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Pre-Calc (11 /12)3/2/10 (T)Today’s Goals:
Define the Log of a Product
Define the Log of a Quotient
Define the Log of a Power
Practice applying the definition of a logarithm and the properties
What are the three basic exponent rules?
Product
Quotient
Power
bamm bam
bam
abm
b
a
mm
bam
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Pre-Calc (11 /12)3/2/10 (T)Today’s Goals:
Define the Log of a Product
Define the Log of a Quotient
Define the Log of a Power
Practice applying the definition of a logarithm and the properties
Let’s translate these into logs!
Log of a Product Rule
Try it out—does it really work?!
yxxy mmm loglog)(log
4log2log)4*2log(?
4log2log)8log(
10.6020599960.3010299970.90308998 70.9030899870.90308998
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Pre-Calc (11 /12)3/2/10 (T)Today’s Goals:
Define the Log of a Product
Define the Log of a Quotient
Define the Log of a Power
Practice applying the definition of a logarithm and the properties
Log of a Quotient Rule
Try it out—does it really work?!
yxyx
mmm logloglog
7log12log712log
?
0.845098041.0791812560.23408320
230483206.0234083206.0
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Pre-Calc (11 /12)3/2/10 (T)Today’s Goals:
Define the Log of a Product
Define the Log of a Quotient
Define the Log of a Power
Practice applying the definition of a logarithm and the properties
Log of a Power Rule
Try it out—does it really work?!
xyx my
m loglog
7log27log?
2
0.8450980421.69019608
69019608.169019608.1
7log249log?
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Pre-Calc (11 /12)3/2/10 (T)Today’s Goals:
Define the Log of a Product
Define the Log of a Quotient
Define the Log of a Power
Practice applying the definition of a logarithm and the properties
Figure out the missing number using the properties:
1.
2.
3.
4.
5.
log?6log3log
log?6log30log
log?2log5
4loglog?100log
42log7loglog?
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Pre-Calc (11 /12)3/2/10 (T)Today’s Goals:
Define the Log of a Product
Define the Log of a Quotient
Define the Log of a Power
Practice applying the definition of a logarithm and the properties
Figure out the missing number using the properties:
1. Product Prop.
2. Quotient Prop.
3. Power Prop.
4. Quotient Prop.
5. Product Prop.
18log6log3log
5log6log30log
32log2log5
4log25log100log
42log7log6log