Solving Logarithm Equations Worksheet

Algebra 2

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Solving Logarithm Equations Worksheet

Solve each equation.

1) 9 log 9 v = 0

2) - log 9 n = 1

3) -7 - 10 log 6 r = -27

4) 7 log 5 x - 4 = 17

5) -4 log 6 -r = -4

7) 4 - 8 log 2x = -28

7

9) 9 log 3 (-5r - 3) = 36

11) 9 log 6 (2a + 1) + 6 = 33

13) log (4 - p) = log (-2 p + 2)

15

15

15) log 20 (-3x - 1) = log 20 (-4x - 4)

6) -4 + log 2 -8 p = -3

8) 6 + 3 log (k - 6) = 15 5

10) log 6 (9 - 7x) - 7 = -6

12) -3 + 8 log 9 (3x + 7) = 29

14) log (-4x + 2) = log (5x + 2)

2

2

16) log (4v + 10) = log (10 - 5v)

17) log 9 -3x - log 9 10 = log 9 13

18) log 9 -3x - log 9 3 = log 9 35

19) log 7 4x - log 7 9 = 1

20) log 7 9 + log 7 (x + 3) = 2

21) ln (x - 8) + ln 3 = 5

22) log (x + 4) + log 3 = 2

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Worksheet by Kuta Software LLC

Algebra 2

Name___________________________________

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Solving Logarithm Equations Worksheet

Solve each equation.

1) 9 log 9 v = 0

{1}

3) -7 - 10 log 6 r = -27

{36}

2) - log 9 n = 1

{

1 9

}

4) 7 log 5 x - 4 = 17

{125}

5) -4 log 6 -r = -4

{-6}

7) 4 - 8 log 2x = -28

7

{ }2401 2

9) 9 log 3 (-5r - 3) = 36

{ }84

5

11) 9 log 6 (2a + 1) + 6 = 33

{ }215 2

13) log (4 - p) = log (-2 p + 2)

15

15

{-2}

15) log 20 (-3x - 1) = log 20 (-4x - 4) {-3}

6) -4 + log 2 -8 p = -3

{ }1

4

8) 6 + 3 log (k - 6) = 15 5

{131}

10) log 6 (9 - 7x) - 7 = -6

{

3 7

}

12) -3 + 8 log 9 (3x + 7) = 29

{ }6554 3

14) log (-4x + 2) = log (5x + 2)

2

2

{0}

16) log (4v + 10) = log (10 - 5v) {0}

17) log 9 -3x - log 9 10 = log 9 13

18) log 9 -3x - log 9 3 = log 9 35

{ }130

3

{-35}

19) log 7 4x - log 7 9 = 1

20) log 7 9 + log 7 (x + 3) = 2

{ }63 4

{ }22 9

21) ln (x - 8) + ln 3 = 5

22) log (x + 4) + log 3 = 2

{ } e5 + 24 3

{ }88 3

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Worksheet by Kuta Software LLC

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