[PDF] [PDF] Algebra 2 - Expanding and Condensing Logarithms

Worksheet by Kuta Software LLC Algebra 2 Expanding and Condensing Logarithms Condense each expression to a single logarithm 1) 3log 9 2 − 2log 9



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Worksheet by Kuta Software LLC Algebra 2 Expanding and Condensing Logarithms Condense each expression to a single logarithm 1) 3log 9 2 − 2log 9



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Algebra 2Name___________________________________

Period____Date________________

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Condense each expression to a single logarithm.

1)

3log92 -

2log952)

log6 x + log6 y + 6log6 z 3) 2log5 x +

12log5

y4) log312 + log37 +

4log35

5) log25 + log26 2 + log211 26)

3log23 -

12log27

Expand each logarithm.

7) log

7 x4 y28) log7 23
52

9) log3(

z 3 x × y)10) log5 a3 b3

11) log6

u v3)212) log4

12 ×

72)4

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Algebra 2Name___________________________________

Period____Date________________

©2 y250T1p4Y dKyurtGaQ WSzojfutDw4aqr3eH DLaL3Cz.I x kAzl4lB orHiJgQhptAsI ar4eFsbeirYvIeyd1.nExpanding and Condensing Logarithms

Condense each expression to a single logarithm.

1)

3log92 -

2log95

log9 23
52
2) log6 x + log6 y + 6log6 z log6( yx z6) 3) 2log5 x +

12log5

y log5( y12 x2) 4) log312 + log37 +

4log35

log3(

84 ×

54)
5) log25 + log26 2 + log211 2 log2( 5 66) 6)

3log23 -

12log27

log2 33
712

Expand each logarithm.

7) log

7 x4 y2 4log7 x - 2log7 y

8) log7

23
52

3log72 -

2log75

9) log3(

z 3 x × y) log3 z + log3 x 3 + log3 y 3

10) log5

a3 b3 3log5 a - 3log5 b

11) log6

u v3)2 2log6 u + 6log6 v

12) log4

12 ×

72)4

4log412 +

8log47

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