e-2 =
Answer   1 = 2  e
ln(3x5) =
Answer=ln3 + lnx5=ln3 + 5lnx
eln3=
Answer =3
 xy   5             ln   6        =                         
Answer= ln x + 5 ln y − ln 6
For y=lnx, can x = 0?
Answer         No!Domain of natural log is        (0, ∞)
For y=2x, can x be 0?
Answer          Yes! Domain of exponential is         (−∞, ∞)  any # to the 0 power is 1(0,1) point on parent graph
For y=2x, can y be negative?
Answer          No!Range of exponential is        (0, ∞)
ln0 =
Answer= undefined
lne2 =
Answerlne2 = 2lne = 2(1) = 2
ln1 =
Answer =0
ln(-2) =
Answer= undefined
e0 =
Answer =1
For y=2x, can x be negative?
Answer         Yes!Domain of exponential is       (−∞, ∞)
For y=2x, can y = 0?
Answer           No!  Range of exponential is          (0, ∞)HA at y=0 (for parent graph)
For y=lnx, can x be negative?
Answer         No!Domain of natural log is        (0, ∞)
For y=lnx, can y = 0?
Answer           Yes!   Range of natural log is          (−∞, ∞)   (inverse of exponential)(1,0) is a point on the parent ...
Does ln(x +1) =             2lnx2 + ln1 = 2lnx + 0 ?
Answer             NO!It is the natural log of that          quantity.
Upcoming SlideShare
Loading in …5
×

Exponentials and logs exact values properties and domain and range

353 views
284 views

Published on

0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total views
353
On SlideShare
0
From Embeds
0
Number of Embeds
14
Actions
Shares
0
Downloads
1
Comments
0
Likes
0
Embeds 0
No embeds

No notes for slide

Exponentials and logs exact values properties and domain and range

  1. 1. e-2 =
  2. 2. Answer 1 = 2 e
  3. 3. ln(3x5) =
  4. 4. Answer=ln3 + lnx5=ln3 + 5lnx
  5. 5. eln3=
  6. 6. Answer =3
  7. 7.  xy 5 ln  6 =   
  8. 8. Answer= ln x + 5 ln y − ln 6
  9. 9. For y=lnx, can x = 0?
  10. 10. Answer No!Domain of natural log is (0, ∞)
  11. 11. For y=2x, can x be 0?
  12. 12. Answer Yes! Domain of exponential is (−∞, ∞) any # to the 0 power is 1(0,1) point on parent graph
  13. 13. For y=2x, can y be negative?
  14. 14. Answer No!Range of exponential is (0, ∞)
  15. 15. ln0 =
  16. 16. Answer= undefined
  17. 17. lne2 =
  18. 18. Answerlne2 = 2lne = 2(1) = 2
  19. 19. ln1 =
  20. 20. Answer =0
  21. 21. ln(-2) =
  22. 22. Answer= undefined
  23. 23. e0 =
  24. 24. Answer =1
  25. 25. For y=2x, can x be negative?
  26. 26. Answer Yes!Domain of exponential is (−∞, ∞)
  27. 27. For y=2x, can y = 0?
  28. 28. Answer No! Range of exponential is (0, ∞)HA at y=0 (for parent graph)
  29. 29. For y=lnx, can x be negative?
  30. 30. Answer No!Domain of natural log is (0, ∞)
  31. 31. For y=lnx, can y = 0?
  32. 32. Answer Yes! Range of natural log is (−∞, ∞) (inverse of exponential)(1,0) is a point on the parent graph
  33. 33. Does ln(x +1) = 2lnx2 + ln1 = 2lnx + 0 ?
  34. 34. Answer NO!It is the natural log of that quantity.

×