day 42: november 5 th objective: apply strategies for finding inverses to parent graph equations....

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Day 42: November 5 th Objective: Apply strategies for finding inverses to parent graph equations. Begin to think of the inverse function for y=3 x . THEN Define the term logarithm as the inverse exponential function or, when y=b x , “y is the exponent to use with base b to get x.” Homework Check 6-54 to 6-58 (pgs 277-279) Wells Time 6-67 to 6-71 (pgs 281-282) • Closure Homework: 6-59 to 6-66 (pgs 279-280) AND 6-72 to 6-80 (pgs 283-284) Project Due: Monday, November 8 th

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Page 1: Day 42: November 5 th Objective: Apply strategies for finding inverses to parent graph equations. Begin to think of the inverse function for y=3 x. THEN

Day 42: November 5th

Objective: Apply strategies for finding inverses to parent graph equations. Begin to think of the inverse function for y=3x. THEN Define the term logarithm as the inverse exponential function or, when y=bx, “y is the exponent to use with base b to get x.”

• Homework Check• 6-54 to 6-58 (pgs 277-279)• Wells Time• 6-67 to 6-71 (pgs 281-282)• ClosureHomework: 6-59 to 6-66 (pgs 279-280) AND 6-72 to

6-80 (pgs 283-284) Project Due: Monday, November 8th

Page 2: Day 42: November 5 th Objective: Apply strategies for finding inverses to parent graph equations. Begin to think of the inverse function for y=3 x. THEN

Silent Board Game

x g x

x g x

83

32

5

1

2

110

16

442

31.6

64

6

21

0

0.25

21

2

1

2

0.2

~ 2.3

1

8

3 g x 2log x

Page 3: Day 42: November 5 th Objective: Apply strategies for finding inverses to parent graph equations. Begin to think of the inverse function for y=3 x. THEN

Silent Board Game

x g x

x g x

83

32

5

1

2

110

16

442

31.6

64

621

0

0.25

21

2

1

2

0.2

~ 2.3

1

8

3

g x 2log x

Page 4: Day 42: November 5 th Objective: Apply strategies for finding inverses to parent graph equations. Begin to think of the inverse function for y=3 x. THEN

6-71: Closure

7

3

75

1.210

32

log 49

log 81

log 5

log 10

log 2w

2

4

7

1.2

w + 3

Page 5: Day 42: November 5 th Objective: Apply strategies for finding inverses to parent graph equations. Begin to think of the inverse function for y=3 x. THEN

Logarithm's Undo Exponentials

Log’s give you exponents!

2xy 2yx Inverses

2logy xSame as

Page 6: Day 42: November 5 th Objective: Apply strategies for finding inverses to parent graph equations. Begin to think of the inverse function for y=3 x. THEN

Logarithm and Exponential Forms

y = log2(32)

2y = 32

Page 7: Day 42: November 5 th Objective: Apply strategies for finding inverses to parent graph equations. Begin to think of the inverse function for y=3 x. THEN

Logarithms

This is the general form:

log

x

a

a b

b x

The logarithm base a of b is the exponent you put on a to get b.

i.e. Logs give you exponents!

a > 0

b > 0