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 =

16. Answer
= undefined

17. lne2 =

18. Answer
lne2 = 2lne = 2(1) = 2

19. ln1 =

20. Answer
=0

21. ln(-2) =

22. Answer
= undefined

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.