24
©C 0290x1P2E lKkuttZaD KSaocfKtZwIaErge4 QL6L8CF.o N OAYl4lE Cr2ivgehetKs5 Jr6e1sreMrSvOeRdo.D O iMYawdvev ywyi2tuhM LI6n1fgiAnriDtReH KAqltgFe9bMrSan Y11.n Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name___________________________________ Period____ Date________________ Exponential Functions Evaluate each function at the given value. 1) f ( x) = x at x 2) f (n) = n at n 3) f (n) = n at n 4) g( x) = ( ) x at x Sketch the graph of each function. 5) f ( x) x x y 6) f ( x) ( ) x x y -1-

Exponential Functions Date Period - Humboldt State …users.humboldt.edu/buntina/Math105/m105Exponential… ·  · 2015-11-24Exponential Functions Date_____ Period ... Rewrite each

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Page 1: Exponential Functions Date Period - Humboldt State …users.humboldt.edu/buntina/Math105/m105Exponential… ·  · 2015-11-24Exponential Functions Date_____ Period ... Rewrite each

©C 0290x1P2E lKkuttZaD KSaocfKtZwIaErge4 QL6L8CF.o N OAYl4lE Cr2ivgehetKs5 Jr6e1sreMrSvOeRdo.D O iMYawdvev ywyi2tuhM LI6n1fgiAnriDtReH KAqltgFe9bMrSan Y11.n Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 1 Name___________________________________

Period____Date________________Exponential Functions

Evaluate each function at the given value.

1)

f (

x) =

x at

x 2)

f (

n) =

n at

n

3)

f (

n) =

n at

n4)

g(

x) =

(

)

x

at

x

Sketch the graph of each function.

5)

f (

x)

x

x

y

6)

f (

x)

(

)

x

x

y

-1-

Page 2: Exponential Functions Date Period - Humboldt State …users.humboldt.edu/buntina/Math105/m105Exponential… ·  · 2015-11-24Exponential Functions Date_____ Period ... Rewrite each

©u t2o0s162N aKZu7tPai 8SBo0fetWwAa9rfei mL9LsCb.D q tAUlol8 4rwiXgKhTt4sm grceQsxesrdveePdo.7 S 4MmaVdwet PwRiXtmhW oI1nCfki3nniRtfe1 fAZlJg6eSbirdav Z1j.E Worksheet by Kuta Software LLC

7)

f (

x)

x

x

y

8)

f (

x)

(

)

x

x

y

Write an equation for each graph.

9)

x

y

10)

x

y

-2-

Page 3: Exponential Functions Date Period - Humboldt State …users.humboldt.edu/buntina/Math105/m105Exponential… ·  · 2015-11-24Exponential Functions Date_____ Period ... Rewrite each

©L 62J081v2u gKHumtGaT HSFoSfItewZaQrJew PLYLICJ.o y wAMldlk urMihgjhYtXse FrqensPeurtvzehd9.K G BM2ajdYed IwGiYtehD xIKnhfaiDnoint4em IAElAg4eBbarea2 l12.v Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 1 Name___________________________________

Period____Date________________Exponential Functions

Evaluate each function at the given value.

1)

f (

x) =

x at

x

12

2)

f (

n) =

n at

n

320

3)

f (

n) =

n at

n

4)

g(

x) =

(

)

x

at

x

Sketch the graph of each function.

5)

f (

x)

x

x

y

6)

f (

x)

(

)

x

x

y

-1-

Page 4: Exponential Functions Date Period - Humboldt State …users.humboldt.edu/buntina/Math105/m105Exponential… ·  · 2015-11-24Exponential Functions Date_____ Period ... Rewrite each

©i 8270R1x2o RKvuvtJaM bSVozfntsw4aMrleB bLBL6Cf.N J lA5lMl9 5rHiogGhltYs4 0rieTseeYrjvrerdA.A F 0MTa3dYeX NwQibt7hj rIYn3fyiUnoirtzec iAdlTgUembRrLaJ u1y.5 Worksheet by Kuta Software LLC

7)

f (

x)

x

x

y

8)

f (

x)

(

)

x

x

y

Write an equation for each graph.

9)

x

y

y

x

10)

x

y

y

(

)

x

-2-

Create your own worksheets like this one with Infinite Algebra 1. Free trial available at KutaSoftware.com

Page 5: Exponential Functions Date Period - Humboldt State …users.humboldt.edu/buntina/Math105/m105Exponential… ·  · 2015-11-24Exponential Functions Date_____ Period ... Rewrite each

©P U2P0Q1K27 nKHuOt7ap cSTosfEtYwyahree3 wLPLnCk.i F uAmlRl9 6rIiEgGhutvsJ 3r9e2sqemrTvGehdh.8 B KMbaHdHed 0wLiDtrhn eIvn6fTi3nviJtNeC zAal0gaebbLrcaY A2T.v Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2 Name___________________________________

Period____Date________________The Meaning Of Logarithms

Rewrite each equation in exponential form.

1) log6

36 = 22) log

28917 =

1

2

3) log14

1

196 = −2

4) log3

81 = 4

Rewrite each equation in logarithmic form.

5)

64

1

2 = 8

6)

122 = 144

7)

9−2

=

1

818)

(

1

12 )2

=

1

144

Rewrite each equation in exponential form.

9) log

u

15

16 =

v10) log

v

u = 4

11) log

7

4

x =

y 12) log2

v =

u

13) log

u

v = −16 14) log

y

x = −8

Rewrite each equation in logarithmic form.

15)

u−14

=

v 16)

8

b =

a

-1-

Page 6: Exponential Functions Date Period - Humboldt State …users.humboldt.edu/buntina/Math105/m105Exponential… ·  · 2015-11-24Exponential Functions Date_____ Period ... Rewrite each

©M d2Y0Z1v2u jKGu3tFab vSLocfftJwAamrDeP XLmLiCt.4 W GAQlKla 4rJiog5hvt0sc erpecsNeSrlvEeOdt.N n 9MvaQdner gwyiEtRhn vISnufMiTnii8tmeC yA4lQgSeCbrrZaK X2b.u Worksheet by Kuta Software LLC

17)

(

1

5 )

x

=

y18)

6

y =

x

19)

9

y =

x 20)

b

a = 123

Evaluate each expression.

21) log4

64 22) log6

216

23) log4

1624) log

3

1

243

25) log5

125 26) log2

4

27) log343

7 28) log2

16

29) log64

430) log

6

1

216

Simplify each expression.

31)

12log

12144

32)

5log

517

33)

xlog

x72

34)

9log

320

-2-

Page 7: Exponential Functions Date Period - Humboldt State …users.humboldt.edu/buntina/Math105/m105Exponential… ·  · 2015-11-24Exponential Functions Date_____ Period ... Rewrite each

©Y i2E0Y1S2s 6KHubtXar VSzoofAtQwfaar2es ALSLrCR.N H lA8lhlq TrqiLgzhOt8sk 2raeLsde1rAvQeKdW.7 P LM7azdFeK bwRilt5hU fIHnifBi0nAiXt2eM EAKl4gse2bpr7av I2q.s Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2 Name___________________________________

Period____Date________________The Meaning Of Logarithms

Rewrite each equation in exponential form.

1) log6

36 = 2

62 = 36

2) log289

17 =

1

2

289

1

2 = 17

3) log14

1

196 = −2

14−2

=

1

196

4) log3

81 = 4

34 = 81

Rewrite each equation in logarithmic form.

5)

64

1

2 = 8

log64

8 =

1

2

6)

122 = 144

log12

144 = 2

7)

9−2

=

1

81

log9

1

81 = −2

8)

(

1

12 )2

=

1

144

log

1

12

1

144 = 2

Rewrite each equation in exponential form.

9) log

u

15

16 =

v

u

v =

15

16

10) log

v

u = 4

v4 =

u

11) log

7

4

x =

y

(

7

4 )

y

=

x

12) log2

v =

u

2

u =

v

13) log

u

v = −16

u−16

=

v

14) log

y

x = −8

y−8

=

x

Rewrite each equation in logarithmic form.

15)

u−14

=

v

log

u

v = −14

16)

8

b =

a

log8

a =

b

-1-

Page 8: Exponential Functions Date Period - Humboldt State …users.humboldt.edu/buntina/Math105/m105Exponential… ·  · 2015-11-24Exponential Functions Date_____ Period ... Rewrite each

©J k2Q05152B TK7uttWao TSMoVfctWwhaPrzee 6L3LbCV.V K MAklelr vrUiggvhatFsj 9rSejsyeUrCv3eWdq.n P 9MAaUdSed bwMiVtdh9 9IinKfgiRnGiGtAeC dAllBgzehbAr3au q29.y Worksheet by Kuta Software LLC

17)

(

1

5 )

x

=

y

log

1

5

y =

x

18)

6

y =

x

log6

x =

y

19)

9

y =

x

log9

x =

y

20)

b

a = 123

log

b123 =

a

Evaluate each expression.

21) log4

64

3

22) log6

216

3

23) log4

16

2

24) log3

1

243

−5

25) log5

125

3

26) log2

4

2

27) log343

7

1

3

28) log2

16

4

29) log64

4

1

3

30) log6

1

216

−3

Simplify each expression.

31)

12log

12144

144

32)

5log

517

17

33)

xlog

x72

72

34)

9log

320

400

-2-

Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com

Page 9: Exponential Functions Date Period - Humboldt State …users.humboldt.edu/buntina/Math105/m105Exponential… ·  · 2015-11-24Exponential Functions Date_____ Period ... Rewrite each

©g W2v0Q1Y1E 0KdumtVam VSKosfyt9wxaSrqeX aLGLbCa.v x 1A4lflV croisgZh2tisD srneWsHe9rbvxePd5.0 N EMCavdKef DwbiBt2hj uIAnhfzi4nPirtNef HAklQgQe7bgrDap 42Z.U Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2 Name___________________________________

Period____Date________________Properties of Logarithms

Expand each logarithm.

1) log (

6 ⋅ 11) 2) log (

5 ⋅ 3)

3) log

(

6

11 )5

4) log (

3 ⋅

23)

5) log

24

56) log

(

6

5 )6

7) log

x

y

6

8) log

(

a

b

)2

9) log

u

4

v

10) log

x

y

5

11) log3

x

y

z

12) log (

x

y

z

2)

-1-

Page 10: Exponential Functions Date Period - Humboldt State …users.humboldt.edu/buntina/Math105/m105Exponential… ·  · 2015-11-24Exponential Functions Date_____ Period ... Rewrite each

©Y 32P0n1Q1j jKXumtIao 2S5ohfYtIwhaYr3ex eLoLLCR.z d IAyl7lQ SrbiIgLhbtXsG 9rYeRsaehrPvJeidq.7 H 6MdaGdGeQ 3wuiWtMhQ hIlnAfBionLiYtVep VAUlCgGeBb0rhaz K2K.F Worksheet by Kuta Software LLC

Condense each expression to a single logarithm.

13)

log 3 −

log 814)

log 6

3

15)

4 log 3 −

4 log 8 16)

log 2 + log 11 + log 7

17)

log 7 −

2 log 1218)

2 log 7

3

19)

6 log3

u

+

6 log3

v

20)

ln

x

4 ln

y

21)

log4

u

6 log4

v

22)

log3

u

5 log3

v

23)

20 log6

u

+

5 log6

v

24)

4 log3

u

20 log3

v

Critical thinking questions:

25)

2(

log 2

x

log

y

) −

(

log 3 +

2 log 5) 26)

log

x

⋅ log 2

-2-

Page 11: Exponential Functions Date Period - Humboldt State …users.humboldt.edu/buntina/Math105/m105Exponential… ·  · 2015-11-24Exponential Functions Date_____ Period ... Rewrite each

©N N2b081h1U yKfuRtCa3 jSfodflttwkaWrUe7 LLCL8Cw.e q HAMlXlH OrCiYglhdtpsW Gr6eZs5eTrsv1e1da.4 W LM2aDd9e5 7wGi1tfh7 3IynrfTiwnbiotcef SAKlegpe8bHrNa1 023.T Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2 Name___________________________________

Period____Date________________Properties of Logarithms

Expand each logarithm.

1) log (

6 ⋅ 11)

log 6 + log 11

2) log (

5 ⋅ 3)

log 5 + log 3

3) log

(

6

11 )5

5 log 6 −

5 log 11

4) log (

3 ⋅

23)

log 3 +

3 log 2

5) log

24

5

4 log 2 −

log 5

6) log

(

6

5 )6

6 log 6 −

6 log 5

7) log

x

y

6

log

x

6 log

y

8) log

(

a

b

)2

2 log

a

+

2 log

b

9) log

u

4

v

4 log

u

log

v

10) log

x

y

5

log

x

5 log

y

11) log3

x

y

z

log

x

3 +

log

y

3 +

log

z

3

12) log (

x

y

z

2)

log

x

+ log

y

+

2 log

z

-1-

Page 12: Exponential Functions Date Period - Humboldt State …users.humboldt.edu/buntina/Math105/m105Exponential… ·  · 2015-11-24Exponential Functions Date_____ Period ... Rewrite each

©F q2D0X1d1U MKPuBtba9 tSjoVfvtvwFaKr8eH RLwLrC5.4 T 5AnlKl0 TrUihgdhctusG UrnemsAeXrKvheGdX.J n GM2a7dKe2 pwNiZtrhs TIJn1fki8n0idtte2 AAxlmgre7bArFa8 o2O.h Worksheet by Kuta Software LLC

Condense each expression to a single logarithm.

13)

log 3 −

log 8

log

3

8

14)

log 6

3

log3

6

15)

4 log 3 −

4 log 8

log

34

84

16)

log 2 + log 11 + log 7

log 154

17)

log 7 −

2 log 12

log

7

122

18)

2 log 7

3

log3

72

19)

6 log3

u

+

6 log3

v

log3

(

v

6

u

6)

20)

ln

x

4 ln

y

ln

x

y

4

21)

log4

u

6 log4

v

log4

u

v

6

22)

log3

u

5 log3

v

log3

u

v

5

23)

20 log6

u

+

5 log6

v

log6

(

v

5

u

20)

24)

4 log3

u

20 log3

v

log3

u

4

v

20

Critical thinking questions:

25)

2(

log 2

x

log

y

) −

(

log 3 +

2 log 5)

log

4

x

2

75

y

2

26)

log

x

⋅ log 2

Can't be simplified.

-2-

Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com

Page 13: Exponential Functions Date Period - Humboldt State …users.humboldt.edu/buntina/Math105/m105Exponential… ·  · 2015-11-24Exponential Functions Date_____ Period ... Rewrite each

©d 92f0p1t2x uK7uUtoar 7S3oIf2tEw0aTr1eP uLcLMC6.t Y WAml7lr krBiOgshctMsT aroeNsyeyrev0eYdV.a I uMNabdMer Mw7iOtnhT pITnwfli4nrict0eT LAllsgZe2bXr6aj O2T.z Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2 Name___________________________________

Period____Date________________Logarithmic Equations

Solve each equation.

1) log 5

x = log (

2

x + 9) 2) log (

10 − 4

x) = log (

10 − 3

x)

3) log (

4

p − 2) = log (

−5

p + 5) 4) log (

4

k − 5) = log (

2

k − 1)

5) log (

−2

a + 9) = log (

7 − 4

a) 6)

2 log7

−2

r = 0

7)

−10 + log3

(

n + 3) = −10 8)

−2 log5

7

x = 2

9)

log −

m + 2 = 4 10)

−6 log3

(

x − 3) = −24

11) log12

(

v2 + 35) = log

12(

−12

v − 1) 12) log9

(

−11

x + 2) = log9

(

x2 + 30)

-1-

Page 14: Exponential Functions Date Period - Humboldt State …users.humboldt.edu/buntina/Math105/m105Exponential… ·  · 2015-11-24Exponential Functions Date_____ Period ... Rewrite each

©S C2b0U1725 TKruAtGah lSKoofltIwfaSr6eC OLzLtCD.P S AAPlolZ XrMiKgNhQtAsp ar8eusSecrlvnevdT.5 7 RM0aOdaeB Tw8iCtOhe TI0njfDiznuiHtzee FAdl2g9eTbAraaQ W2k.Y Worksheet by Kuta Software LLC

13) log (

16 + 2

b) = log (

b2 − 4

b) 14) ln (

n2 + 12) = ln (

−9

n − 2)

15)

log

x + log 8 = 2 16)

log

x −

log 2 = 1

17)

log 2 + log

x = 1 18)

log

x + log 7 = log 37

19)

log8

2 + log8

4

x2 = 1 20)

log9

(

x + 6) −

log9

x = log9

2

21)

log6

(

x + 1) −

log6

x = log6

29 22)

log5

6 + log5

2

x2 = log

548

23)

ln 2 −

ln (

3

x + 2) = 1 24)

ln (

−3

x − 1) −

ln 7 = 2

25)

ln (

x − 3) −

ln (

x − 5) = ln 5 26)

ln (

4

x + 1) −

ln 3 = 5

-2-

Page 15: Exponential Functions Date Period - Humboldt State …users.humboldt.edu/buntina/Math105/m105Exponential… ·  · 2015-11-24Exponential Functions Date_____ Period ... Rewrite each

©z g2P0M1z2V 0K4uztZaL OSPoNfBtUwqaMrzew aLSLpCk.N p KAclslu yrOingBhTtZsH 8rreZsae5rkvEepdq.Q 0 rMXa6dCeq swXiIt7hV JIMnsfWi7nJigtPeK JA0ltgYe8bDrTaD D26.t Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2 Name___________________________________

Period____Date________________Logarithmic Equations

Solve each equation.

1) log 5

x = log (

2

x + 9)

{3}

2) log (

10 − 4

x) = log (

10 − 3

x)

{0}

3) log (

4

p − 2) = log (

−5

p + 5)

{

7

9}

4) log (

4

k − 5) = log (

2

k − 1)

{2}

5) log (

−2

a + 9) = log (

7 − 4

a)

{−1}

6)

2 log7

−2

r = 0

{

−1

2}

7)

−10 + log3

(

n + 3) = −10

{−2}

8)

−2 log5

7

x = 2

{

1

35}

9)

log −

m + 2 = 4

{−100}

10)

−6 log3

(

x − 3) = −24

{84}

11) log12

(

v2 + 35) = log

12(

−12

v − 1)

{−6}

12) log9

(

−11

x + 2) = log9

(

x2 + 30)

{−7, −4}

-1-

Page 16: Exponential Functions Date Period - Humboldt State …users.humboldt.edu/buntina/Math105/m105Exponential… ·  · 2015-11-24Exponential Functions Date_____ Period ... Rewrite each

©P g2l0w1U2A lKAuZtYaY 3SjoGf5t5wCa1rmef tLWLjC7.N z XADlClt Xrwivgyh5tFsZ 4rdelsLeWrVv7eEdy.7 f iM9axdVev owti7tJho SIgnbfGiun5intkeq iALlYgrePbGrwaT E2l.i Worksheet by Kuta Software LLC

13) log (

16 + 2

b) = log (

b2 − 4

b)

{8, −2}

14) ln (

n2 + 12) = ln (

−9

n − 2)

{−2, −7}

15)

log

x + log 8 = 2

{

25

2}

16)

log

x −

log 2 = 1

{20}

17)

log 2 + log

x = 1

{5}

18)

log

x + log 7 = log 37

{

37

7}

19)

log8

2 + log8

4

x2 = 1

{1, −1}

20)

log9

(

x + 6) −

log9

x = log9

2

{6}

21)

log6

(

x + 1) −

log6

x = log6

29

{

1

28}

22)

log5

6 + log5

2

x2 = log

548

{2, −2}

23)

ln 2 −

ln (

3

x + 2) = 1

{

2 − 2

e

3

e }

24)

ln (

−3

x − 1) −

ln 7 = 2

{

−7

e2 − 1

3}

25)

ln (

x − 3) −

ln (

x − 5) = ln 5

{

11

2}

26)

ln (

4

x + 1) −

ln 3 = 5

{

3

e5 − 1

4}

-2-

Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com

Page 17: Exponential Functions Date Period - Humboldt State …users.humboldt.edu/buntina/Math105/m105Exponential… ·  · 2015-11-24Exponential Functions Date_____ Period ... Rewrite each

©7 f2404162Y AKnuqtMaZ WSloTfat0w7a9r2eQ KLrLSCt.l 9 2Anl4lg rrji8gyh3tLsS trRelsCeUrkvYeDd5.L 1 lMYaEdjeP awWiztGhE MIHnyfYiCn7iPtxev tASlZgieWbDr4ai K2r.m Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2 Name___________________________________

Period____Date________________Exponential Equations Not Requiring Logarithms

Solve each equation.

1)

4

2

x + 3 = 1 2)

5

3 − 2

x =

5−

x

3)

3

1 − 2

x = 243 4)

32

a =

3−

a

5)

4

3

x − 2 = 1 6)

42

p =

4

−2

p − 1

7)

6−2

a =

6

2 − 3

a8)

2

2

x + 2 =

23

x

9)

63

m ⋅

6−

m =

6−2

m

10)

2

x

2

x =

2−2

x

11)

10−3

x ⋅

10

x =

1

10

12)

3

−2

x + 1 ⋅

3

−2

x − 3 =

3−

x

-1-

Page 18: Exponential Functions Date Period - Humboldt State …users.humboldt.edu/buntina/Math105/m105Exponential… ·  · 2015-11-24Exponential Functions Date_____ Period ... Rewrite each

©B 82s0C1j2R wKEuEtCat FSJoKfftzwIaLrGeg YLHLgCd.A G sA8lAlc ErfiPgThUtjsz WrxeLsmeJrlvYeTdF.j 6 jMGabdxew PwQiltchl RIanZfcignjistze5 yAvlsgge4b9riak A2i.x Worksheet by Kuta Software LLC

13)

4−2

x ⋅

4

x = 64

14)

6−2

x ⋅

6−

x =

1

216

15)

2

x ⋅

1

32 = 32

16)

2−3

p ⋅

22

p =

22

p

17)

64 ⋅

16−3

x =

16

3

x − 2

18)

81

3

n + 2

243−

n =

34

19)

81 ⋅

9

−2

b − 2 = 27 20)

9−3

x ⋅

9

x = 27

21)

(

1

6 )

3

x + 2

2163

x =

1

216

22)

243

k + 2 ⋅

9

2

k − 1 = 9

23)

16

r ⋅

64

3 − 3

r = 64 24)

16

2

p − 3 ⋅

4−2

p =

24

-2-

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©C 92e0r1A2z IKNu5tbal VS6oDfJtywXa8rae5 fLdLdCO.d C SAnlklQ rrUiCgUhAtmsD lrFeXsve7rvvyeNdk.C 2 1MXaYd8e2 WwgijtxhD DIfnGfXiTnNittBeK sAolJgXe6bnr6ar 82W.R Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2 Name___________________________________

Period____Date________________Exponential Equations Not Requiring Logarithms

Solve each equation.

1)

4

2

x + 3 = 1

{

−3

2}

2)

5

3 − 2

x =

5−

x

{3}

3)

3

1 − 2

x = 243

{−2}

4)

32

a =

3−

a

{0}

5)

4

3

x − 2 = 1

{

2

3}

6)

42

p =

4

−2

p − 1

{

−1

4}

7)

6−2

a =

6

2 − 3

a

{2}

8)

2

2

x + 2 =

23

x

{2}

9)

63

m ⋅

6−

m =

6−2

m

{0}

10)

2

x

2

x =

2−2

x

{0}

11)

10−3

x ⋅

10

x =

1

10

{

1

2}

12)

3

−2

x + 1 ⋅

3

−2

x − 3 =

3−

x

{

−2

3}

-1-

Page 20: Exponential Functions Date Period - Humboldt State …users.humboldt.edu/buntina/Math105/m105Exponential… ·  · 2015-11-24Exponential Functions Date_____ Period ... Rewrite each

©X U2W0z1623 0KKuNtfaw PSkoTf4ttwFaDrpe4 lLqLnCn.e Y yAFlElJ WrEi4gihetQsB UrzessrePr5v1e6du.5 H oMQaSdIeN cwXiitBhN wIqnrf7iznYigtmeH cALlXg3eKbPrgal D2n.S Worksheet by Kuta Software LLC

13)

4−2

x ⋅

4

x = 64

{−3}

14)

6−2

x ⋅

6−

x =

1

216

{1}

15)

2

x ⋅

1

32 = 32

{10}

16)

2−3

p ⋅

22

p =

22

p

{0}

17)

64 ⋅

16−3

x =

16

3

x − 2

{

7

12}

18)

81

3

n + 2

243−

n =

34

{

−4

17}

19)

81 ⋅

9

−2

b − 2 = 27

{

−3

4}

20)

9−3

x ⋅

9

x = 27

{

−3

4}

21)

(

1

6 )

3

x + 2

2163

x =

1

216

{

−1

6}

22)

243

k + 2 ⋅

9

2

k − 1 = 9

{

−2

3}

23)

16

r ⋅

64

3 − 3

r = 64

{

6

7}

24)

16

2

p − 3 ⋅

4−2

p =

24

{4}

-2-

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Page 21: Exponential Functions Date Period - Humboldt State …users.humboldt.edu/buntina/Math105/m105Exponential… ·  · 2015-11-24Exponential Functions Date_____ Period ... Rewrite each

©O j2r0V1P2C cKEuiteaI FSAoPfUtKwya9r3eJ oL6LBCB.W M EAHlUlz Fr4iWgWhAt9sM erpeLs8ecrCvDecdo.p u OMcatdKeR qwXixt0hk VIGngfniZnViEtleb PAGlXg6e6bQr1as 72d.x Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2 Name___________________________________

Period____Date________________Solving Exponential Equations with Logarithms

Solve each equation. Round your answers to the nearest ten-thousandth.

1)

3

b = 17 2)

12

r = 13

3)

9

n = 49 4)

16

v = 67

5)

3

a = 69 6)

6

r = 51

7)

6

n = 99 8)

20

r = 56

9)

5 ⋅

186

x = 26 10)

e

x − 1 − 5 = 5

11)

9

n + 10 + 3 = 81 12)

11

n − 8 − 5 = 54

-1-

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©7 S280U1C2A kK1uPtpaT dSkoQfWtOwBa0rFe0 nLuLHCO.I T JAplQlW JrDicgDhytRsA 3rTeBsGeUr0vRe8dF.K 5 oMNaodseG hwViItgho LI4nDf9ifnliNtSeg zAglHgCeJbZrNaR P2P.j Worksheet by Kuta Software LLC

13)

16

n − 7 + 5 = 24 14)

20−6

n + 6 = 55

15)

5 ⋅

63

m = 20 16)

8−5

a − 5 = 53

17)

3.4

e

2 − 2

n − 9 = −4 18)

−6

e

8

n + 8 − 3 = −23

19)

e

−3.9

n − 1 − 1 = −3 20)

−2

e

7

v + 5 − 10 = −17

21)

−3

e

7

a + 9 + 6 = −6 22)

−3

e

9

x − 1 + 6 = −58

23)

e

6 − 9

p + 5 = −48.4 24)

−10

e

2 − 2

b − 6 = −66

25)

6

e

−4

k − 10 − 4 = 63 26)

6

e

5

x − 6 − 4 = 50

-2-

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©S i2j071g2k mK4uktTaF MS3oRfZtvwBa7r6ed 4LLLgCM.n h JAbl5lL Er4iogjhLtkss RrTetsgelrYvaePdc.f U CMhaidJeX 9wvictwht rIcn4fki7n2ihtoeH JAglMgAeNb0ruab 92X.2 Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2 Name___________________________________

Period____Date________________Solving Exponential Equations with Logarithms

Solve each equation. Round your answers to the nearest ten-thousandth.

1)

3

b = 17

2.5789

2)

12

r = 13

1.0322

3)

9

n = 49

1.7712

4)

16

v = 67

1.5165

5)

3

a = 69

3.854

6)

6

r = 51

2.1944

7)

6

n = 99

2.5646

8)

20

r = 56

1.3437

9)

5 ⋅

186

x = 26

0.0951

10)

e

x − 1 − 5 = 5

3.3026

11)

9

n + 10 + 3 = 81

−8.0172

12)

11

n − 8 − 5 = 54

9.7005

-1-

Page 24: Exponential Functions Date Period - Humboldt State …users.humboldt.edu/buntina/Math105/m105Exponential… ·  · 2015-11-24Exponential Functions Date_____ Period ... Rewrite each

©6 52q0t132o vK3u6t7ae OSConfHtQwxasrTe3 BL1L4Cu.r v aAtljlf XrviYglh6tFsF HrreTs2eSrzvGejde.A 7 YMNasdGeW pwtiUtjhN hISnrfYivnHiwtMe4 FANlxgGeCbsr2ax h2z.L Worksheet by Kuta Software LLC

13)

16

n − 7 + 5 = 24

8.062

14)

20−6

n + 6 = 55

−0.2165

15)

5 ⋅

63

m = 20

0.2579

16)

8−5

a − 5 = 53

−0.3905

17)

3.4

e

2 − 2

n − 9 = −4

0.8072

18)

−6

e

8

n + 8 − 3 = −23

−0.8495

19)

e

−3.9

n − 1 − 1 = −3

−0.4341

20)

−2

e

7

v + 5 − 10 = −17

−0.5353

21)

−3

e

7

a + 9 + 6 = −6

−1.0877

22)

−3

e

9

x − 1 + 6 = −58

0.4511

23)

e

6 − 9

p + 5 = −48.4

0.2247

24)

−10

e

2 − 2

b − 6 = −66

0.1041

25)

6

e

−4

k − 10 − 4 = 63

−3.1032

26)

6

e

5

x − 6 − 4 = 50

1.6394

-2-

Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com