Logarithm Worksheet

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Pre-­‐Calculus   C P   1   –   S ection   3 .2   N otes  
Name:    
 
Logarithmic   F unctions  
 
Logarithmic   F unction  
The   f unction  
  i s   a   l ogarithmic   f unction   w ith   b ase   b ,   w here   b   i s   a   p ositive   r eal  
number   a nd   x   i s   a ny   r eal   n umber.  
 
 
y
y = log
x  
x  
!
2
-­‐3    
-­‐2    
-­‐1    
   
1
!
2
0    
1    
x
2    
3    
 
Is   t here   a n   a symptote   a nywhere   i n   t his   g raph?   W here?  
 
 
The   c ommon   b ase   f or   a   l ogarithm   i s   1 0.   L et’s   u se   t his   t able   o f   v alues   t o   c onnect   l ogs   t o  
exponentials:  
 
x  
-­‐3  
-­‐2  
-­‐1  
0  
1  
2  
3  
 
 
 
 
 
 
 
! y = 10
x
 
 
 
Precalculus   C P   1  
 
Page   1   o f   4  

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