[PDF] [PDF] Expanding and Condensing Logarithmsks-ia2 - Unit 5

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[PDF] Expanding and Condensing Logarithmsks-ia2 - Unit 5

Worksheet by Kuta Software LLC Algebra 2 Expanding and Condensing Logarithms Condense each expression to a single logarithm 1) 15log 5 a + 3log 5

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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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Worksheet by Kuta Software LLC Voluntary Worksheet Logarithms: Expand, Condense, Properties, Equations Expand each logarithm 1) ln (x 6 y 3) 2) log 8

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Write the problem letter above the solution below to reveal a riddle and punch line Expand these logarithms using the properties of logarithmic functions

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Use the properties of logarithms to expand or condense logarithmic Expanding a Logarithmic Expression Expand ln 5x7 — y SOLUTION ln 5x7 —

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Common Logarithm: Logarithm with base of 10 log , x = logx Practice: Expand or Condense the following: 1092 2 109 27 - - - Rewrite as exponents 3 Pre-Calculus: Worksheet - Logarithms Unit 7 Day 1 Practice Name: Key Name:

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Algebra 2Name___________________________________

Period____Date________________

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Condense each expression to a single logarithm.

1)

15log5

a + 3log5 b2) 4log4 u - 6log4 v 3) 2log5 a +

10log5

b4) 2log2 x + 8log2 y 5) 5log x + 20log y6) 6log2 u - 5log2 v 7) 5log8 x +

15log8

y8)

3log96 +

9log95

9)

2log86 -

5log8510)

3log6 x - 6log6 y

Expand each logarithm.

11) log

9 u2 v)

312) log4(

x5 y2)

13) log2(

x2 y5)14) log5 x y5)2

15) log2(

a6 b3)

16) log7

u4 v) 6 -1-

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17) log3

x4 y2

18) log8(

52 ×

124)

19) log6

56
8)

220) log3

12 ×

113)5
Use the properties of logarithms and the values below to find the logarithm indicated. Do not use a calculator to evaluate the logs.

21) log

58 » 1.3

log

59 » 1.4

log

512 » 1.5

Find log

57222) log

810 » 1.1

log

811 » 1.2

log

86 » 0.9

Find log

8 6 11

23) log810 » 1.1

log

811 » 1.2

log

86 » 0.9

Find log

8 15 2

24) log56 » 1.1

log

58 » 1.3

log

57 » 1.2

Find log

5 2 9

25) log76 » 0.9

log

78 » 1.1

log

75 » 0.8

Find log

7 16 9

26) log98 » 0.9

log

96 » 0.8

log

95 » 0.7

Find log

9 25
36
-2-

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Answers to Expanding and Condensing Logarithms

1) log5(

b3 a15)2) log4 u4 v6

3) log5(

b10 a2)4) log2( y8 x2)

5) log(

y20 x5)6) log2 u6 v5

7) log8(

y15 x5)8) log9(

59 ×

63)

9) log8

62

5510) log6

x3 y6 11) 6log9 u - 3log9 v12) 5log4 x + 2log4 y 13) 2log2 x + 5log2 y14) 2log5 x +

10log5

y15) 6log2 a + 3log2 b16)

24log7

u - 6log7 v 17) 4log3 x - 2log3 y18)

2log85 +

4log81219)

12log65 -

2log68

20)

5log312 +

15log31121) 2.722) -0.3

23) 124) -0.925) 0.426) -0.2

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