Part 2 - Solving Exponential problems

1. Solve 8^x = 8⁵

A. 2

B. 4

C. 1

D. 5

E. 3

F. 8

2. Solve 13 ^{(x + 11)} = 13⁸

A. 4

B. -3

C. 2

D. -1

E. 3

F. -2

3. Solve 4^x = 16

A. 8

B. 6

C. 5

D. 4

E. 3

F. 2

4. Solve 2^{(3x - 6)} = 8

A. 11

B. 9

C. 7

D. 5

E. 3

F. 1

5. Solve 5^{(x2 - 3x)} = 1/25

A. 1, 2

B. 1, 4

C. 2, 2

D. 2, 4

E. 1, 3

F. 2, 5

6. Solve 9^{(2x2 - 2x)} = 27

A. 1, 3

B. -3/2, 1

C. 1, -2

D. 1/2, -3

E. -3/2, 2

F. 3/2, -1/2

7. Solve 3^{(x - 5)} = 1/81

A. 1

B. 2

C. 3

D. -3

E. -2

F. -1

8. Solve 3^x = 29

A. 4.150

B. 3.065

C. 2.5

D. 3.75

E. 2.075

F. 1.25

9. Solve 8^x = 456

A. 12

B. 2.014

C. 3.15

D. 2.944

E. 4.255

F. 2

10. Solve 12^3x = 89

A. 1.456

B. 0.702

C. 1.253

D. 0.602

E. 3.245

F. 0.035

11. Solve 8(3^{x - 6}) = 876

A. 20.235

B. 12.354

C. 10.274

D. 8.345

E. 6.236

F. 4.654

12. Solve 5e^x - 32 = 212

A. 2.459

B. 2.468

C. 1.453

D. 3.888

E. 3.678

F. 1.546

13. Solve 10000^3.21x = 340000

A. 0.045

B. 0.457

C. 1.376

D. 0.543

E. 0.431

F. 2.565

14. Solve 128(11.36)^x = 100

A. 2.392

B. -0.632

C. 1.581

D. -0.102

E. 0.632

F. 1.576

15. Solve 28(132^{(39x - 20)}) = 12481

A. 2.755

B. 0.345

C. 1.675

D. 2.345

E. 0.545

F. 4.235

16. Solve 5e^{(2.1x - 2)} = 14

A. 1.443

B. 2.543

C. 5.343

D. 2.434

E. 1.343

F. 0.443

17. A type of bacteria doubles in population every 2 hours. Given that there were approximately 5 bacteria to start with, how many bacteria will there be in 10 hours?

A. 575

B. 375

C. 125

D. 150

E. 230

F. 160

18. The half-life of a radioactive substance is one hundred twenty-five days. How many days will it take for eighty-two percent of the substance to decay?

A. 180

B. 367

C. 275

D. 310

E. 532

F. 426

19. A bacteria population doubles every four minutes. If the population begins with one cell, how long will it take to grow tto 1,024 cells?

A. 8 minutes

B. 320 minutes

C. 54 minutes

D. 160 minutes

E. 40 minutes

F. 219 minutes

20. At time t = 0 hours, there are 500 bacteria in a favorable growth medium. 5 hours later, there are 2000 bacteria. aAssuming exponential growth, what is the growth constant "k" for the bacteria?

A. 0.155

B. 2.543

C. 0.135

D. 0.277

E. 1.467

F. 1.866