Advanced Logs Math Worksheet

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HAT   1 2/5/16    
 
 
 
Name:   _ _________________________________  
Advanced   L ogs  
 
Show   a ll   w ork.    
 
1. Without   t he   u se   o f   a   c alculator,   c ompare   log
51 ,   log
61 ,   a nd   log
71 .     W hich   o f   t hese   i s  
7
8
9
greatest?     E xplain   y our   r easoning.  
 
 
 
 
 
 
 
2. Simplify    
 
   
 
 
 
 
b.  
   
2
3log
2−log
5
log
a
x
x
x
a.  
a
 
 
 
 
 
 
 
 
 
48 − log
12 + log
15 − log
log
4  
3log
25  
 
 
d.  
c.  
5
5
5
6
6
 
 
 
 
 
 
 
 
 
 
 
(
)
(
)
(
)
(
)
 
 
 
 
f.     log
 
5
log
7
log
27
log
2
7
3
2
5
 
 
 
 
 
 
HINT:   U se   c hange   o f   b ase   t heorem  
 
 
 
 
 
 
 
 

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