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Thread: How to combine two logarithmic equations?

  1. #1
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    Question How to combine two logarithmic equations?

    The following curves have been separately drawn by the function
    $$y=m-ln(t^{-1/2}-n)$$
    $n$ is the same in both curves ($0.1$), $m$ is $0$ in the orange and $11$ in the blue.

    Is it possible to write a single equation to draw both curves continuously? Note that the blue curve has been shifted (+100) to show what I want.
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  2. #2
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    Re: How to combine two logarithmic equations?

    it's cheating a bit using the floor function but here you go.

    $y(t) = 11 \left \lfloor \dfrac {t}{100}\right\rfloor -

    \ln\left(\left(t - 100 \left\lfloor \dfrac{t}{100}\right \rfloor \right)^{-1/2}-0.1\right)$
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  3. #3
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    Re: How to combine two logarithmic equations?

    Quote Originally Posted by romsek View Post
    it's cheating a bit using the floor function but here you go.

    $y(t) = 11 \left \lfloor \dfrac {t}{100}\right\rfloor -

    \ln\left(\left(t - 100 \left\lfloor \dfrac{t}{100}\right \rfloor \right)^{-1/2}-0.1\right)$
    Are you sure it works? I get this curve instead
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  4. #4
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    Re: How to combine two logarithmic equations?

    Quote Originally Posted by brianx View Post
    Are you sure it works? I get this curve instead
    How to combine two logarithmic equations?-clipboard01.jpg
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