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Logarithm exercise

  1. Aug 7, 2011 #1
    1. The problem statement, all variables and given/known data

    [tex]2^{5x}=3^x(5^{x+3})[/tex]

    2. Relevant equations



    3. The attempt at a solution

    [tex]ln2^{5x}=ln3^x(ln5^{x+3})[/tex]

    [tex]5xln2=xln3(x+3)ln5[/tex]

    Here's where I get stuck... I've tried a bunch of different manipulation, but can't seem to isolate x...

    Thanks in advance!
     
  2. jcsd
  3. Aug 7, 2011 #2

    SteamKing

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    Hint: Remember that log (ab) = log (a) + log (b) Check the RHS of your equation
     
  4. Aug 7, 2011 #3
    Thanks for the direction! I think I've got it...

    5v23wg.jpg

    It's late and I still suck at LaTeX, is it okay to do this, or is it against etiquette?

    Thanks again for your help!
     
  5. Aug 7, 2011 #4

    I like Serena

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    Welcome to PF, Orange! :smile:

    It is okay to do that, and you did get it.

    Cheers!
     
  6. Aug 7, 2011 #5
    Thanks!
     
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