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 when y=b x x . THEN Define the term logarithm as the inverse exponential function or, , “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

Silent Board Game

x x

8 3 32 5 1 2  1 1 0 16 4 4 2 3 1.6

2 1 0  0.25

 2   1  log 2 1 2 2   1 0.2

 8 3 64 6

Silent Board Game

x x

  1 0  1  8 3 0.2

 2 1 0.25

2  1 2 1 3 1.6

1 0 4 2  8 3 log 2 16 32 64 4 5 6 1 2 2

6-71: Closure log 7 3       log log 10 log 5 2   10 1.2

    7  4 2 1.2

w

+ 3

Logarithm's Undo Exponentials Log’s give you exponents!

y

 2

x

Inverses

y x

 2

y

 Same as log 2  

Logarithm and Exponential Forms

y

= log 2 (32) 2

y

= 32

Logarithms This is the general form:

a x



b

log

a b



x a

> 0

b

> 0 The logarithm base

a

exponent you put on

a

of

b

is the to get

b

. i.e. Logs give you exponents!