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Math Help - Solving logs and rubberband transformation ect.

  1. #1
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    Solving logs and rubberband transformation ect.

    First of all, can this be reduced at all? I think you do natural log to cancel out the e but, not sure where to go from there :|


    Second, Solve for all real values of x:
    (x-2)log x = 7x - 14

    Rubber Band Transformation?
    y=3x-2x+5
    R: (x,y) --> (1/5(x), 2y + 4)

    Solve for all real values of r;


    Studying for a good ol final, stuff isn't clicking right now. Thanks

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  2. #2
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    Stuck at (x^(n-2))-7x+14=0 not even sure if that's right
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  3. #3
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    Hello, lic2kill!

    Solve for all real values of r\!:\;\;\frac{1}{2r^2-7t+6} \:=\:\frac{1}{2r^2 + r - 6}

    Note that we have: . \frac{1}{(r-2)(2r-3)} \:=\:\frac{1}{(r+2)(2r-3)}
    . Hence: .  r \:\neq \:\pm2,\: \frac{3}{2}


    Multiply by (r-2)(r+2)(2r-3)\!:\;\;r + 2 \:=\:r - 2 \quad\Rightarrow\quad 0 \:=\:\text{-}4 .??


    There are no solutions.

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  4. #4
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    I had my final today, there was a problem just like that one, and I came with no solution too, yay, thanks for answering

    That log one has been bothering me though, I ended up graphing it and finding two zeros, but not sure if that's right....
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