1] Express as a single logarithm with a coefficient of 1.

     


   2] Express as a single logarithm with a coefficient of 1.

     


   3] Expand in terms of simpler logarithmic forms

  (a)
     


  (b)
     



  (c)
    


  4]
  (a) 
 Solve , write your answer to 3 significant digits.




  (b)  
 Solve , write your answer to 3 significant digits




  (c) Solve , write your answer to 3 significant digits my problem




  (d)  
  Solve the formula for




   5]   Find the oblique asymptotes
   (a) 


  (b)  


  (c)   



  6]  Find all vertical and horizontal asymptotes.
  (a) 


  (b) 


  (c)  



  7] List all possible rational zeros.
  (a)  



  (b)




  8]  
  Find all roots exactly (rational, irrational, and imaginary) of the equation.




  9]
  (a)  
 Use synthetic division and the remainder theorem to do this problem.

 Find , given .

  (b)  
Using synthetic division, write the quotient including the remainder term.



  (c)  
  Using synthetic division, write the quotient including the remainder term.




  10]
  Sketch the graph of the functions. Indicate and label the
  x-and y-intercepts, and the vertical, horizontal, oblique asymptotes.
  (a) 



  (b) 



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© edmond 2002