Expert: Sherry Wallin - 7/27/2010

Question
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

Answer
Victoria~

I can't follow your symbolism. What is Ö?

Also, for example, #19 it is true that the ln 0 is not defined because for it to be defined you would need to have some power of e to be equal to 0 and e is always positive no matter what ... Also ln 1 = 0 because e^0 = 1.

#20 e*ln .5 is approximately 2.72* -0.693 = -0.188

Math Prof