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Section 2 - Logarithmic Functions and Their Graphs

Page history last edited by PBworks 16 years, 3 months ago

 

 

 

 

 

Logarithmic Functions

 

Log function :inverse of an exponential function. y=eq=a^x

 

 

 eq=f^-1(x) = eq=log_ax  "log base a of x"

 

EX. evaluate eq=log_232 = x                                 EX. Log42 = 4x=2

                        2x=32                                         x=1/2

                         x=5

 

                    Log327

                     3x=27

                      x=3

 

                    Log31

                    x=0

 

 

 

EX. 23=8 write as a log

Log28=3

 

Log10x = common log= log x

 

Properties of logs

1)       Loga1 =0                     a0=1

2)      Logaa =1                      a1=a

3)      Logaax =x                     ax= ax

4)      If Logax = Logay, then x=y

 

EX. Solve for X

Log2x= Log23

X=3

Log44=x

X=1

 

 

EX. Graph Y= Log2x

F(x) =  2x

Draw Inverse 2x

Inverse always Y=X

 

 

“Natural log” = logex = lnx

: Ln2=.69

:Lne2 = 2

:Ln1=0

 

 

Comments (1)

Anonymous said

at 8:31 pm on Jan 8, 2008

Looks good! 20/20

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