Exponential Equations Not Requiring Logarithms - Kuta Software

[Pages:4]Kuta Software - Infinite Algebra 2

Name___________________________________

Exponential Equations Not Requiring Logarithms

Date________________ Period____

Solve each equation.

1) 42x + 3 = 1

2) 53 - 2x = 5-x

3) 31 - 2x = 243 5) 43x - 2 = 1

4) 32a = 3-a 6) 42 p = 4-2 p - 1

7) 6-2a = 62 - 3a

8) 22x + 2 = 23x

9) 63m 6-m = 6-2m 11) 10-3x 10x = 1

10

10) 2 x = 2-2x 2 x

12) 3-2x + 1 3-2x - 3 = 3-x

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Worksheet by Kuta Software LLC

13) 4-2x 4 x = 64 15) 2x 1 = 32

32 17) 64 16-3x = 163x - 2

14) 6-2x 6-x = 1 216

16) 2-3 p 22 p = 22 p 18) 813n + 2 = 34

243-n

19) 81 9-2b - 2 = 27

( ) 21) 1 3x + 2 2163x = 1

6

216

23) 16r 643 - 3r = 64

20) 9-3x 9 x = 27 22) 243k + 2 92k - 1 = 9 24) 162 p - 3 4-2 p = 24

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2

Name___________________________________

Exponential Equations Not Requiring Logarithms

Date________________ Period____

Solve each equation.

1) 42x + 3 = 1

{ }3 - 2

2) 53 - 2x = 5-x

{3}

3) 31 - 2x = 243

{-2}

4) 32a = 3-a

{0}

5) 43x - 2 = 1

{

2 3

}

7) 6-2a = 62 - 3a

{2}

6) 42 p = 4-2 p - 1

{ }1 - 4

8) 22x + 2 = 23x

{2}

9) 63m 6-m = 6-2m

{0}

10) 2 x = 2-2x 2 x

{0}

11) 10-3x 10x = 1 10

{

1 2

}

12) 3-2x + 1 3-2x - 3 = 3-x

{ }2 - 3

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Worksheet by Kuta Software LLC

13) 4-2x 4 x = 64

{-3}

15) 2x 1 = 32 32

{10}

17) 64 16-3x = 163x - 2

{ }7 12

14) 6-2x 6-x = 1 216

{1}

16) 2-3 p 22 p = 22 p

{0}

18) 813n + 2 = 34 243-n

{ }4 - 17

19) 81 9-2b - 2 = 27

{ }3 - 4

20) 9-3x 9 x = 27

{ }3 - 4

( ) 21) 1 3x + 2 2163x = 1

6

216

{ }1 - 6

22) 243k + 2 92k - 1 = 9

{ }2 - 3

23) 16r 643 - 3r = 64

{

6 7

}

24) 162 p - 3 4-2 p = 24

{4}

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Worksheet by Kuta Software LLC

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