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Homework Help: Solving an equation

  1. Aug 29, 2013 #1
    how can I solve this using algebraic methods? I know the solution is x = 1 from just looking at it, but not sure how to do it algebraically:

    ## x + 3^x = 4 ##
     
  2. jcsd
  3. Aug 29, 2013 #2
  4. Aug 29, 2013 #3
    You can set f(x) = x+3^x-4, take x=1 as a solution to f(x) = 0 and look if it is monotonic to show that it has no other solutions. Algebraically is not possible.
     
  5. Aug 29, 2013 #4
    a very strange way of writing one:

    [tex]x=\frac{-W(3^4\ln(3))}{\ln(3)}+4=1[/tex]
     
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