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Math Help - Simplify this equation.

  1. #1
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    Simplify this equation.

    y=2e^-(ln x) + 1

    Hey, can someone help me simplify this equation.
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  2. #2
    TD!
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    You know that exp(ln(a)) = a? And r.ln(x) = ln(x^r), so -ln(x) = ln(1/x).
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  3. #3
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    Quote Originally Posted by TD! View Post
    You know that exp(ln(a)) = a? And r.ln(x) = ln(x^r), so -ln(x) = ln(1/x).
    so...

    y=2(1/x)+1
    y=2/x +1
    ?
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  4. #4
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Takkun View Post
    y=2e^-(ln x) + 1

    Hey, can someone help me simplify this equation.
    Or you could look at it this way:
    y = 2e^{-ln(x)} + 1 = \frac{2}{e^{ln(x)}} + 1
    and then use TD's trick: e^{ln(a)} = a.

    (It isn't much different, but I prefer to have my exponents positive when possible.)

    -Dan
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  5. #5
    TD!
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    Quote Originally Posted by Takkun View Post
    so...

    y=2(1/x)+1
    y=2/x +1
    ?
    Correct!
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  6. #6
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Takkun View Post
    so...

    y=2(1/x)+1
    y=2/x +1
    ?
    Yes, that's it.

    -Dan
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