MATH 121
EXPONENTIAL AND LOGARITHMIC EQUATIONS II
Solve for x:
1. log2 x = 3 2. log2 5x = 3 3. logx 16 = 2 4. = x 5. logx 8 = 6. logx 8 = -3 7. log4 x3 = 8. log4 x = 9. log2 b= log2 x 10. log x = 2 log b 11. log x = log b2 12. log5 x = 2 log5 3 13. 2 log3 x = log3 5 14. log2 x = 3 + log2 4 15. log2 x = 3 + log2 x2 |
16. log2 x2 = 3 + log2
x 17. 3 log2 x + log2 27 = 3 18. = 2 19. 4x = 2 20. 4-x = 2 21. 5x = 3 22. 2x = 3x 23. 2x = 3x - 1 24. 25x = 3 25. 53x = 4x 26. log (x + 1) = log 2x 27. log (x + 1) = log x + log 2 28. log2(x + 1)=3 + log2 x 29. log2(x 3) + log2 (x 4) = 1 30. log(x 1) (4x 4) = 2 31. = ln x |
ANSWERS
1. 8 2. 3. 4 4. -2 5. 4 6. ½ 7. 2 8. 8 9. b 10. b² 11. b² 12. 9 13. 14. 32 15. 16. 8 17. |
18. 8 19. ½ 20. -½ 21. ≈ .68 22. 0 23. ≈ 2.71 24. ≈ .25 25. ≈ 5.59 26. 1 27. 1 28. 29. 5, (2 does not check) 30. 5, (1 does not check) 31. 14 |