Properties of Logarithms - Kuta Software LLC

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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