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Math Help - Logarithms Questions

  1. #1
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    Joined
    Sep 2009
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    22

    Logarithms Questions

    Hey im currenty suck on this question:

    3^x+2 = 2^1-x

    Well so far ive got

    x+2 log3 = 1-x log 2

    but im not sure where to go from there
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  2. #2
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    Joined
    Oct 2009
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    1) Expand the brackets

    xlog(3) + 2log(3) = log(2) - xlog(2)

    2) add xlog(2) and subtract 2log(3) to both sides

    xlog(3) + xlog(2) = log(2) - 2log(3)

    3)This simplifies to

    xlog(6) = log(2) - log(9)

    4)Divide both sides by log(6)

    x = \frac{log(2) - log(9)}{log(6)}

    and there we go
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  3. #3
    Newbie
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    Sep 2009
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    Ahh thanks

    Just needed to know to get it to this form:
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