Exponentials and logs exact values properties and domain and range
- 1. e-2 =
- 2. Answer 1 = 2 e
- 3. ln(3x5) =
- 4. Answer =ln3 + lnx5 =ln3 + 5lnx
- 5. eln3=
- 6. Answer =3
- 7. xy 5 ln 6 =
- 8. Answer = ln x + 5 ln y − ln 6
- 9. For y=lnx, can x = 0?
- 10. Answer No! Domain of natural log is (0, ∞)
- 11. For y=2x, can x be 0?
- 12. Answer Yes! Domain of exponential is (−∞, ∞) any # to the 0 power is 1 (0,1) point on parent graph
- 13. For y=2x, can y be negative?
- 14. Answer No! Range of exponential is (0, ∞)
- 15. ln0 =
- 17. lne2 =
- 18. Answer lne2 = 2lne = 2(1) = 2
- 19. ln1 =
- 20. Answer =0
- 21. ln(-2) =
- 23. e0 =
- 24. Answer =1
- 25. For y=2x, can x be negative?
- 26. Answer Yes! Domain of exponential is (−∞, ∞)
- 27. For y=2x, can y = 0?
- 28. Answer No! Range of exponential is (0, ∞) HA at y=0 (for parent graph)
- 29. For y=lnx, can x be negative?
- 30. Answer No! Domain of natural log is (0, ∞)
- 31. For y=lnx, can y = 0?
- 32. Answer Yes! Range of natural log is (−∞, ∞) (inverse of exponential) (1,0) is a point on the parent graph
- 33. Does ln(x +1) = 2 lnx2 + ln1 = 2lnx + 0 ?
- 34. Answer NO! It is the natural log of that quantity.