Properties of Logarithms - Kuta Software
Kuta Software - Infinite Precalculus
Properties of Logarithms
Expand each logarithm.
1) log
Name___________________________________ Date________________ Period____
2) log ()
3) log ()
4) log ()
5) log ()
6) log
7) log x
8) log x
9) log (ab)
10) log x
11) log (uv)
12) log (ab)
-1-
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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
log x 20)
21) log x log y
22) log u log v
23) log x log y
24) log ulog vlog w
Critical thinking questions:
25) (log x log y)(log log )
26) log xlog
-2-
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Precalculus
Properties of Logarithms
Expand each logarithm.
1) log
log log
3) log ()
log log
5) log ()
log log
7) log x log x
9) log (ab)
log alog b
11) log (uv)
log u log v
Name___________________________________ Date________________ Period____
2) log ()
log log
4) log ()
log log
6) log
log log
8) log x log x
10) log x log x
12) log (ab)
log a log b
-1-
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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 log
16) log log
log
17) log x log x
18) log a log a
19) log a log b a
log b
log x 20)
log x
21) log x log y
log (xy)
23) log x log y
log ( y ) x
22) log u log v u
log v
24) log ulog vlog w log wvu
Critical thinking questions:
25) (log x log y)(log log )
x log y
26) log xlog Can't be simplified.
Create your own worksheets like this one with Infinite Precalculus. Free trial available at
-2-
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Worksheet by Kuta Software LLC
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