Review Sheet: Exponential and Logorithmic Functions Date ...

Math 120

ID: 1

Name___________________________________

Review Sheet: Exponential and Logorithmic Functions Date________________ Period____

Expand each logarithm.

( )u 2 3

1) log v

2) log 6 (u ) 4v4

3) log 5 3 8 7 11

4) log 4 (u ) 6v5

( )x 4 3

5) log 3 y

Condense each expression to a single logarithm. 6) ln 5 + ln 7 + 2 ln 6

7) 4 log 2 6 + 3 log 2 7

8) log 8 x + log 8 y + 6 log 8 z

9) 18 log 9 x - 6 log 9 y

10)

4 log 8

7 +

log 8 3

6

Rewrite each equation in exponential form. 11) log 2 32 = 5

1 13) log 19 361 = -2

1

15)

log 1

= 2 81

9

12) log 5 125 = 3 14) log 6 216 = 3

-1- ?V 2KTuetIam 4SGo9fztmwJaqrHej 8LrLYCN.3 x UAAlflM WreiXgWhJtOsY brReFsie8rOvterdX.z Q kMaaMdxeB gw9iFtQhr uIMnOfZirn7iYtreW UAulPgQePbwr9ap p2U.u

Worksheet by Kuta Software LLC

Rewrite each equation in logarithmic form. 16) 42 = 16 18) m3 = n 20) a-7 = b Find the inverse of each function. 21) y = log 6 x2

23) y = log 5 (-3x)

17) x-4 = y 19) 12 x = y

22) y = -10 log 4 x 24) y = log 5 x3

25) y = 3 log 5 x

4 x 26) y =

4

e x 27) y =

3

4 x 28) y =

2

29) y = 3 x + 8

30) y = 3 x - 10

Solve each equation.

31) log 11 (-2x - 6) = log 11 (x + 9) 33) log (2k - 4) = log k 35) log 9 1 = log 9 (1 - 4x) 37) log 6 (x - 4) + log 6 4 = log 6 45

32) log 18 (5a - 1) = log 18 4a 34) log 13 ( p + 5) = log 13 (2 p - 4) 36) log 5 (x + 6) - log 5 2 = 2 38) log 5 (x - 10) - log 5 3 = 2

?X 3KTuitbam 4Sgowfot5w4aarmer QLiLXCa.O Q 2Awl6lt 5rnitg0h5tdsr brLeOsoeLrNvBeMd9.W c nMYajdkeu Nwri2t8hi jIVnufpi5nCiotmei AAjlpg8eJbzrma0 n2V.P

-2-

Worksheet by Kuta Software LLC

39) log 4 -x + log 4 8 = 5

Sketch the graph of each function.

41) y = log 2 (x - 2) - 5

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

43) y = log 4 (x + 2) - 5

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

45) y = log 5 (x - 1) - 2

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

40) log 3 5x - log 3 7 = 1

42) y = log 3 (x + 2) - 5

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

44) y = log 3 (x - 3) + 5

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

46) y = log 4 (x - 1) - 5

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

?5 lKXuStKaH gSXobfYtwwAanrdeI 1LhLnCd.F Z hASlwlI FrqiggMhEt5sv 3r3ePsSeUrpvPevdD.4 5 YMFaSdjeT 7wAiMtahd bIDnzfTiVn6iGtxeI VASlUg9eCbmrfal y2P.J

-3-

Worksheet by Kuta Software LLC

47) y = log 5 (x - 1) + 2

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

49) y = log 6 (x + 6) + 5

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

( )1 x

51) y = 5 2

20 18 16 14 12 10 8 6 4 2

-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

48) y = log 4 (x + 5)

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

50) y = log 5 (x + 1) + 4

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

52) y = -2 2 x

-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 -2 -4 -6 -8 -10 -12 -14 -16 -18 -20

?n uKcuEt3ay NSmoufStqwgafrneO yLHLeCj.n 0 jAMlblR mrEiigwhEt4sc HrnemsZeWrwveecdd.o z rMvaDdeel rwvihtuh0 uISnGfFiFnCidtYe1 3AIlcgVeCbrrgaY R2b.F

-4-

Worksheet by Kuta Software LLC

53) y = -3 2 x

-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 -2 -4 -6 -8 -10 -12 -14 -16 -18 -20

( )1 x

55) y = 4 2

20 18 16 14 12 10 8 6 4 2 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

( )1 x

54) y = 3 2

20 18 16 14 12 10 8 6 4 2

-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

( )1 x

56) y = -4 2

-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 -2 -4 -6 -8 -10 -12 -14 -16 -18 -20

?D EKiuxtgau qS0o4fHtKwfamrneJ ULGLvCl.P S MAjlQlN 2rsirg1hBthsz 2r8ers1ejrYvfe0d9.A 8 pMEaPdWeK xw2iGtRhb vIVnqfIiCnBiPt1e1 QA3lZgXecbfr9aL I2r.V

-5-

Worksheet by Kuta Software LLC

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download