Solving Exponential Equations with Logarithms - Kuta Software

Kuta Software - Infinite Algebra 2

Name___________________________________

Solving Exponential Equations with Logarithms

Date________________ Period____

Solve each equation. Round your answers to the nearest ten-thousandth. 1) 3 = 17

b

2) 12 = 13

r

n

4) 16 = 67

5) 3 = 69

a

6) 6 = 51

n 7) 6 = 99

8) 20 r = 56

v

3) 9 = 49

9) 5 ⋅ 18

11) 9

6x

n + 10

r

x−1

= 26

10) e

+ 3 = 81

12) 11

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-1-

−5=5

n−8

− 5 = 54

Worksheet by Kuta Software LLC

13) 16

n−7

+ 5 = 24

14) 20

= 20

16) 8

15) 5 ⋅ 6

3m

17) 3.4e

2 − 2n

− 9 = −4

−6n

−5a

18) −6e

+ 6 = 55

− 5 = 53

8n + 8

− 3 = −23

−3.9n − 1 − 1 = −3 19) −e

20) −2e 7v + 5 − 10 = −17

21) −3e 7a + 9 + 6 = −6

22) −3e

23) −e 6 − 9 p + 5 = −48.4

24) −10e 2 − 2b − 6 = −66

25) 6e

−4k − 10

− 4 = 63

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26) 6e

-2-

9x − 1

5x − 6

+ 6 = −58

− 4 = 50

Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2

Name___________________________________

Solving Exponential Equations with Logarithms

Date________________ Period____

Solve each equation. Round your answers to the nearest ten-thousandth. b

r

1) 3 = 17

2) 12 = 13

2.5789

n

1.0322

v

3) 9 = 49

4) 16 = 67

1.7712

a

1.5165

r

5) 3 = 69

6) 6 = 51

3.854

2.1944

7) 6 n = 99

8) 20 r = 56

2.5646

9) 5 ⋅ 18

6x

= 26

1.3437

10) e

0.0951

11) 9

n + 10

+ 3 = 81

−5=5

3.3026

12) 11

−8.0172

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x−1

n−8

− 5 = 54

9.7005

-1-

Worksheet by Kuta Software LLC

13) 16

n−7

+ 5 = 24

14) 20

8.062

15) 5 ⋅ 6

3m

= 20

16) 8

2 − 2n

− 9 = −4

18) −6e

− 3 = −23

−0.5353

+ 6 = −6

22) −3e

−1.0877

9x − 1

+ 6 = −58

0.4511

23) −e 6 − 9 p + 5 = −48.4

24) −10e 2 − 2b − 6 = −66

0.2247

−4k − 10

8n + 8

20) −2e 7v + 5 − 10 = −17

−0.4341

25) 6e

− 5 = 53

−0.8495

19) −e −3.9n − 1 − 1 = −3

7a + 9

−5a

−0.3905

0.8072

21) −3e

+ 6 = 55

−0.2165

0.2579

17) 3.4e

−6n

0.1041

− 4 = 63

26) 6e

−3.1032

5x − 6

− 4 = 50

1.6394

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-2-

Worksheet by Kuta Software LLC