Kuta Software - Infinite Precalculus
Name___________________________________
Properties of Logarithms
Date________________ Period____
Expand each logarithm.
1) log


2) log ()
3) log ()
4) log ()
5) log ()
7) log

6) log
x
8) log
9) log (ab)
11) log (uv)


10) log x

x

12) log (ab

)
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Worksheet by Kuta Software LLC
Condense each expression to a single logarithm.
13) log  log 
14) log log 
15) log log 
16) log  log 
17)  log x
18)  log a
19) log a log b
20)
log x

21) log x log y
22)  log u log v
23)  log x log y
24) log ulog vlog w
Critical thinking questions:
25) (log x log y)(log  log )
26) log xlog 
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Precalculus
Name___________________________________
Properties of Logarithms
Date________________ Period____
Expand each logarithm.
1) log


2) log ()
log log 
log  log 
3) log ()
4) log ()
log log 
5) log ()
log log 
6) log
log log 


log  log 
7) log

x
8) log
log x

log x

9) log (ab)
10) log x


 log x
log alog b
11) log (uv)
x
12) log (ab
 log u log v

)
log a log b
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Worksheet by Kuta Software LLC
Condense each expression to a single logarithm.
13) log  log 
log
14) log log 


log 
15) log log 
16) log  log 
log 
log
17)  log x
log x
18)  log a

log a
19) log a log b
log


20)
a
b

log x

log
21) log x log y
log ( x y
x
22)  log u log v

)
log
u
v
23)  log x log y

24) log ulog vlog w
 
log ( y x

)
log wvu
Critical thinking questions:
25) (log x log y)(log  log )
log
26) log xlog 
x 
 y 
Can't be simplified.
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Worksheet by Kuta Software LLC