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Math Help - Transformation with a fraction

  1. #1
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    Transformation with a fraction

    Hi all, I have the following formula

    -ctLoge = log(\frac{a-b}{a})

    and I have to get 't' as the subject so I thought I would divide the right hand side by -cLoge to get this

    t = \frac{log(\frac{a-b}{a})}{-cLoge}

    However, my textbook says the answer is

    t = \frac{-log(\frac{a-b}{a})}{cLoge}

    Could someone please explain why my method wasn't correct?

    Thanks very much
    John
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  2. #2
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    Normal, IL USA
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    Re: Transformation with a fraction

    Aren't they the same?

    \frac{1}{-2}=\frac{-1}{2}

    BTW, while I understand you, I'm used to seeing ln used for the natural log.
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  3. #3
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    Re: Transformation with a fraction

    Ahh yes, so they are - don't understand why the textbook didn't just do it the way its been teaching me so far, but at least I know I hadn't actually made a mistake.

    The example I was doing was a demonstration of using both common logs vs natural logs - just hadn't got to the natural log part example yet.

    thanks for your help, much appreciated.
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