[PDF] 72 Expanding and Condensing Log Expressions v1 20130207 PDF assignment

g q NAJlglr ZrQiQgrhRt5sQ Prfe0sre4r8v4eXdc c Expanding and Condensing Logarithms Expand each logarithm Justify each step by stating logarithm

Properties for Expanding Logarithms 0 log 1 = or a log 10 = This is property number 1 which says that log of 1 will always equal zero no matter what the base is If we went through and rewrote each of the properties of exponents we would get the properties of logarithms shown above

[PDF] Algebra 2 - Expanding and Condensing Logarithms

E f OAwlTl3 0r3i1gHhntwsG SrPeCsMeHruvQekds G Expanding and Condensing Logarithms Condense each expression to a single logarithm 1) 3log 9

[PDF] HW 302: Expand and Condense Logarithms ( ) ( ) - Frankston ISD

In Exercises 1 – 15, expand the given logarithm and simplify Assume when necessary that all quantities represent positive real numbers 1 ln x5 y3 ( ) 2 log 3

[PDF] Properties of logarithms 1 Fundamental rules: expanding - TSFX

Properties of logarithms 1 Fundamental rules: expanding logarithms Let M and N be two numbers or two formal expression that we require to be both positive

[PDF] Logs as inverses, Properties of Logs, Expanding and Condensing

19 sept 2017 · represent the number of factors in the single log term • You can ONLY condense log terms that have the same base Page 8

[PDF] Logarithm Formulas Expansion/Contraction Properties of

When expanding logarithms, you'll want to work in reverse In this example, that means apply division rule, then the multiplication rule, then the exponent rule

[PDF] Logarithms Expand, Condense, Properties, Equations

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

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

6) 6log 2 u − 5log 2 v 7) 5log 8 x + 15log 8 y 8) 3log 9 6 + 9log 9 5 9) 2log 8 6 − 5log 8 5 10) 3log 6 x − 6log 6 y Expand each logarithm 11) log 9 (u

[PDF] Infinite Algebra 2 - 44 Expanding and Condensing Logarithms

Condense each expression to a single logarithm 9) 5 log z 11 + 10 log; 6 10) 6 log, z +

[PDF] 72 Expanding and Condensing Log Expressions v1 20130207

g q NAJlglr ZrQiQgrhRt5sQ Prfe0sre4r8v4eXdc c Expanding and Condensing Logarithms Expand each logarithm Justify each step by stating logarithm

[PDF] expanding logarithms calculator

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Algebra 2 - Task 7.2ID: 1Name___________________________________

PeriodDate____________

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Expand each logarithm. Justify each step by stating logarithm property used.

Level 2:

1) log

6 u v

2) log53

3) log7

544) log4

5) log(

a ? b)6) log5 6 7

Level 3:

7) log

4 x38) log6

3 ? 11)6

9) log6(

a b3)10) log4( a ? b ? c)

11) log5(

10 ?

113)12) log7

x ? y)6

Level 4:

13) log

2 x3 ? y)314) log3( z4 x)

15) log9(

z x ? y)16) log8 a b4) 5

17) log8

x3 ? y)2

18) log2

a b4) 2

Condense each expression to a single logarithm. Justify each step by stating the logarithm property used.

Level 2:

19)

6log51020)

log x 3 21)
log7 u - log7 v22) log6 x - log6 y 23)
log42 + log4724) log3 a + log3 b

Level 3:

25)

5log711 -

log7826) log3 x + 2log3 y 27)
2log8 x28) 2log9 a 29)
log u + log v + log w30) log212 + log27 + log25

Level 4:

31)
log5 x 2 + log5 y 2 + log5 z 232)
3log6 a - 6log6 b 33)
log7 x 3 + log7 y 3 + log7 z 334)
3log4 a - 3log4 b 35)
3log3 u +

15log3

v36) 3log5 u +

12log5

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Algebra 2 - Task 7.2ID: 1Name___________________________________

PeriodDate____________

©N z2v001f3b bKAuCtLa0 2SYoBf7tywLahryeP ALPLvC9.W m 5ALl9l5 9rQi4gHh7tgsI fr4eUsYearovteNdD.VExpanding and Condensing Logarithms

Expand each logarithm. Justify each step by stating logarithm property used.

Level 2:

1) log

6 u v log6 u - log6 v2) log53 a log5 a 3

3) log7

4log754) log4

u6 6log4 u

5) log(

a ? b) log a + log b6) log5 6 7 log56 - log57

Level 3:

7) log

4 x3 3log4 x

28) log6

3 ? 11)6

6log63 +

6log611

9) log6(

a b3) log6 a + 3log6 b10) log4( a ? b ? c) log4 a + log4 b + log4 c

11) log5(

10 ? 113)
log510 +

3log51112) log7

x ? y)6 6log7 x + 6log7 y

Level 4:

13) log

2 x3 ? y)3 9log2 x + 3log2 y14) log3( z4 x) 4log3 z + log3 x 2

15) log9(

z x ? y) log9 z + log9 x 2 + log9 y 2

16) log8

a b4) 5 5log8 a -

20log8

17) log8

x3 ? y)2 6log8 x + 2log8 y18) log2 a b4) 2 2log2 a - 8log2 b

Condense each expression to a single logarithm. Justify each step by stating the logarithm property used.

Level 2:

19)

6log510log5

106
20) log x 3log 3 x 21)
log7 u - log7 vlog7 u v22) log6 x - log6 ylog6 x y23) log42 + log47log41424) log3 a + log3 blog3 ba

Level 3:

25)

5log711 -

log78log7 115
826)
log3 x + 2log3 ylog3( x y2) 27)
2log8 xlog8 x228) 2log9 alog9 a2 29)
log u + log v + log wlog wvu30) log212 + log27 + log25log2420

Level 4:

31)
log5 x 2 + log5 y 2 + log5 z 2log5 zyx32) 3log6 a - 6log6 blog6 a3 b6 33)
log7 x 3 + log7 y 3 + log7 z

3log73

zyx34) 3log4 a - 3log4 blog4 a3 b3 35)
3log3 u +

15log3

vlog3( v15 u3)36) 3log5 u +

12log5

vlog5( v12 u3)

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Algebra 2 - Task 7.2ID: 2Name___________________________________

PeriodDate____________

©T U2R0y1F3J kKOuvtra8 ISXozf8ttwpaKrfes gL2LTCT.C 6 aARlxlm YrgicgmhJtRs8 Zr7eksyeArEvEecdj.xExpanding and Condensing Logarithms

Expand each logarithm. Justify each step by stating logarithm property used.

Level 2:

1) log

73102) log9

115

3) log8

u v

4) log33

5) ln

x36) log8( x ? y)

Level 3:

7) log

3 x y) 4

8) log4

84
7

9) log4

7 12)

510) log6(

a ? b ? c)

11) log5

x5 y

12) log63

Level 4:

13) log

9 x5 y)

614) log8(

x ? y ? z6)

15) ln(

x ? y ? z6)16) log8( w33 u)

17) log7

a5 b)

418) log2(

u3 v4)

Condense each expression to a single logarithm. Justify each step by stating the logarithm property used.

Level 2:

19) ln x 320)
log4 x - log4 y 21)
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[PDF] [PDF] 72 Expanding and Condensing Log Expressions v1 20130207

Period____Date________________

Level 2:

1) log

2) log53

3) log7

544) log4

5) log(

Level 3:

7) log

3 ? 11)6

9) log6(

11) log5(

113)12) log7

Level 4:

13) log

15) log9(

17) log8

18) log2

Level 2:

6log51020)

Level 3:

5log711 -

Level 4:

15log3

12log5

Period____Date________________

Level 2:

1) log

3) log7

4log754) log4

5) log(

Level 3:

7) log

28) log6

3 ? 11)6

6log63 +

6log611

9) log6(

11) log5(

3log51112) log7

Level 4:

13) log

15) log9(

16) log8

20log8

17) log8

Level 2:

6log510log5

Level 3:

5log711 -

Level 4:

3log73

15log3

12log5

Period____Date________________

Level 2:

1) log

73102) log9

3) log8

4) log33

5) ln

Level 3:

7) log

8) log4

9) log4

510) log6(

11) log5

12) log63

Level 4:

13) log

614) log8(

15) ln(

17) log7

418) log2(

Level 2:

PeriodDate____________

PeriodDate____________

PeriodDate____________