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Homework Help: Logs and real variables.

  1. Feb 7, 2009 #1
    1. The problem statement, all variables and given/known data

    Real variables x and y are related by the equation

    ln(2+y) = 5ln(3 - x) - 2 sqrt x .....(sorry, I haven't as yet got the hang on LaTeX)

    Determine the range of values of x and y for which the expressions on each side of this equation are defined.

    2. Relevant equations

    3. The attempt at a solution

    I haven't really been able to make an attempt at a solution. I think I have to take the exp of each side, but I am not sure excatly what way I go about this, so if someone could give me some advice, that would be fantastic.

    Thanks in advance.

  2. jcsd
  3. Feb 7, 2009 #2


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    (1) For what values of [itex]\gamma[/itex] is [itex]\ln\gamma[/itex] defined?

    (2) For what values of [itex]\eta[/itex] is [itex]\sqrt{\eta}[/itex] defined?
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