today’s agenda – may 3

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

Exemplars

Exemplars

Exemplars

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

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

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

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

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

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?

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?

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