Practice Converting from Logarithm to Exponential

[Pages:4]Algebra 2

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Practice- Converting from Logarithm to Exponential

Rewrite each equation in exponential form.

1)

log

6

216 =

3

2) log u v = 16

3) log 12 144 = 2

4) log n 149 = m

5) log 7 y = x

6) log 8 64 = 2

1 7) log 361 19 = 2

8) log 400 = 2

20

11 9) log 144 12 = - 2

1 10) log 16 256 = -2

Rewrite each equation in logarithmic form. 11) 9 2 = 81

12) 3 y = x

13) nm = 1 15

14) x y = 109

15) x y = 120

16) a-1 = b

Worksheet by Kuta Software LLC

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17) m-2 = n

18) 5 4 = 625

19) 15 2 = 225

21) 10 n = 66

Evaluate each expression. 23) log 6 216

1 25) log

2 16

20) yx = 7 18

22) 11 -2 = 1 121

24) log 8 64

26) log 2 16

1 27) log 7 49

1 28) log 5 125

1 29) log 12 144

1 30) log 3 243

31)

log

3

1

1 32) log

8 64

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Worksheet by Kuta Software LLC

Algebra 2

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Practice- Converting from Logarithm to Exponential

Rewrite each equation in exponential form.

1)

log

6

216 =

3

63 = 216

2) log u v = 16 u16 = v

3) log 12 144 = 2 122 = 144

4) log n 149 = m nm = 149

5) log 7 y = x 7x = y

6) log 8 64 = 2 82 = 64

1 7) log 361 19 = 2

1

361 2 = 19

11 9) log 144 12 = - 2

1

-

144 2 =

1

12

Rewrite each equation in logarithmic form. 11) 9 2 = 81

log 9 81 = 2

8) log 400 = 2

20

202 = 400

1 10) log 16 256 = -2

16-2 = 1 256

12) 3 y = x

log

3

x

=

y

13) nm = 1 15

1 log n 15 = m

14) x y = 109 log x 109 = y

15) x y = 120 log x 120 = y

16) a-1 = b log a b = -1

Worksheet by Kuta Software LLC

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17) m-2 = n log m n = -2

19) 15 2 = 225 log 15 225 = 2

21) 10 n = 66 log 66 = n

Evaluate each expression. 23) log 6 216

3

18) 5 4 = 625

log

5

625

=

4

20) yx = 7 18

7 log y 18 = x

22) 11 -2 = 1 121

1 log 11 121 = -2

24) log 8 64 2

1 25) log

2 16 -4

26) log 2 16 4

1 27) log 7 49

-2

1 28) log 5 125

-3

1 29) log 12 144

-2

1 30) log 3 243

-5

31)

log

3

1

0

1 32) log

8 64 -2

Worksheet by Kuta Software LLC

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