Expert: Richard J. Raridon - 8/10/2010

Question
Write in exponential form:
ln 100 = 4.61
  e100 = 4.61      4.61e = 100
  e4.61 = 100      100e = 4.61
14.   Write in exponential form:
ln 1/e2 = -2
  e0.5 = -2      e-2 = 1/e2
  -2e = 1/e2      e-0.5 = 2
15.   Write the equation in logarithmic form:
e7 = 1097
  ln 1097 = 7      7 ln = 1097
  ln 7 = 1097      1097 ln = 7
16.   Write the equation in logarithmic form:
3Ö    e    = 1.40
  ln 1/3 = 1.40      1.40 ln = 1/3
  ln 1.40 = 1/3      3 ln = 1.40
17.   ln e10
  100      10
  1/100      1/10
18.   
ln       1
Ö    e    
  
-Ö    e    
  
-1
2
  
1
e
  
1
2
19.   Simplify:
ln 0
  1      Undefined
  0      2
20.   Simplify:
eln0.5

  0.5      0.20
  5      0.05
21.   Express as a single logarithm:
ln 8 - ln 2
  ln 6      ln 4
  ln 10      ln 2
22.   Express as a single logarithm:
ln 7 + 0.5 ln 9
  ln 9      ln 14
  ln 18      ln 21
23.   Express as a single logarithm:
4 ln 2 - ln 3 - 1
  4 ln      4 ln 4
  ln 16/3e      ln 3/16e
24.   Solve:
ln1/x = 2
  
1
e2
  
1
e
  0.368      e
25.   Solve:
ln|x| = 1
  0      Undefined
  ± e      
Ö    e
26.   Solve:
lnÖ    x     = 3
  e3      e6
  e2      e4
27.   Solve:
e-x = 3
  Undefined      ln 1
  ln 3      -ln 3
28.   Solve:
e3x = 8
  ln 5      3 ln 8
  
ln 8
3
  
ln 3
8
29.   
Solve:

1   =   7
ex
  ln 1/7      ln 1/7
  ln 7      ln 7
30.   Solve:
e-2x = 0.2
  -0.5 ln 0.2      ln 2.5
  2 ln 5      2 ln 2.5
31.   Solve:
3e2x + 2 = 50
  ln 8      ln 0.25
  ln 14      0.5ln 16
Part 2
Short Answer: Type the answer to the problem in the text box
below each item. Be sure to legibly show all work in your
notebook. Remember to include any applicable units. If there
is no solution, type "no solution". If there is not enough
information present to solve the problem, type "not enough
information". If you can't type the answer into the question
box, turn it into your teacher on paper. (Each question is
worth one point)
32.   Solve:
|ln x| = 1

33.   Solve:
2 ln x = ln(x + 1)

34.   Capital Trust offers a savings accounting with 6%
interest compounded monthly, while South Market offers a
savings account with 6% interest compounded quarterly. Which
account is better and why?

35.   Solve (You may leave your answer in terms of ln or
e):
ln(lnx)=0

36.   Solve (You may leave your answer in terms of ln or
e):
lnx+ln(x+3) = ln10


Answer
Where did you get these questions since I answered the same ones for someone else a few days ago?
You need to learn to write exponents, x^2 or x^3.  Write a square root as x^1/2 and a cube root as x^1/3
I couldn't answer some of yours since I couldn't determine the exponents.  
13. e^4.61 = 100
14. e^-2 = 1/e^2
15. ln(1097) = 7
16. ln(1.40) = 1/3
17. 10
19. undefined
21. ln(4)
22. ln(21)
25. +/-e
26. e^6
34. obviously monthly
36. x=2