Meaning of Logarithms - Kuta Software LLC

Kuta Software - Infinite Algebra 2

The Meaning Of Logarithms

Rewrite each equation in exponential form. 1) log 6 36 = 2

Name___________________________________ Date________________ Period____

1 2) log 289 17 = 2

1 3) log 14 196 = -2

4) log 3 81 = 4

Rewrite each equation in logarithmic form.

1

5) 64 2 = 8

6) 122 = 144

7) 9-2 = 1 81

( )1 2 1

8)

=

12 144

Rewrite each equation in exponential form. 15

9) log u 16 = v

10) log v u = 4

11) log 7 x = y

4

12) log 2 v = u

13) log u v = -16

14) log y x = -8

Rewrite each equation in logarithmic form. 15) u-14 = v

16) 8b = a

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Worksheet by Kuta Software LLC

( )1 x

17)

= y

5

19) 9 y = x

Evaluate each expression. 21) log 4 64 23) log 4 16

25) log 5 125 27) log 343 7 29) log 64 4

Simplify each expression. 31) 12log 12 144 33) xlog x 72

18) 6 y = x 20) ba = 123

22) log 6 216 1

24) log 3 243 26) log 2 4 28) log 2 16

1 30) log 6 216

32)

log

5

5

17

34)

log

9

3

20

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2

The Meaning Of Logarithms

Rewrite each equation in exponential form. 1) log 6 36 = 2

62 = 36

1 3) log 14 196 = -2

14-2 = 1 196

Rewrite each equation in logarithmic form.

1

5) 64 2 = 8 1

log 64 8 = 2 7) 9-2 = 1

81 1

log 9 81 = -2

Rewrite each equation in exponential form. 15

9) log u 16 = v uv = 15 16

11) log 7 x = y

4

( )7 y = x 4

13) log u v = -16 u-16 = v

Rewrite each equation in logarithmic form. 15) u-14 = v

log u v = -14

Name___________________________________ Date________________ Period____

1 2) log 289 17 = 2

1

289 2 = 17 4) log 3 81 = 4

34 = 81

6) 122 = 144 log 12 144 = 2

( )1 2 1

8)

=

12 144

1

log 1

= 2 144

12

10) log v u = 4 v4 = u

12) log 2 v = u 2u = v

14) log y x = -8 y-8 = x

16) 8b = a log 8 a = b

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Worksheet by Kuta Software LLC

( )1 x

17)

= y

5

log 1 y = x

5

19) 9 y = x log 9 x = y

18) 6 y = x log 6 x = y

20) ba = 123 log b 123 = a

Evaluate each expression. 21) log 4 64

3

23) log 4 16 2

25) log 5 125 3

27) log 343 7 1 3

29) log 64 4 1 3

Simplify each expression. 31) 12log 12 144

144

22) log 6 216 3

1 24) log 3 243

-5

26) log 2 4 2

28) log 2 16 4

1 30) log 6 216

-3

32)

log

5

5

17

17

33) xlog x 72 72

34)

log

9

3

20

400

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Worksheet by Kuta Software LLC

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