Non Linear Formula: Generate Formula From Logic

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I am trying to simulate a slider on a webpage that behaves non-linearly as shown in the illustration below.



I want to generate a mathematical formula that can represent these states and also give all values in between. I thought this looked like something I can achieve with a log formula, but I could not produce a formula that works.



enter image description here




linear-algebra logarithms




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    up vote
    1
    down vote

    favorite












    I am trying to simulate a slider on a webpage that behaves non-linearly as shown in the illustration below.



    I want to generate a mathematical formula that can represent these states and also give all values in between. I thought this looked like something I can achieve with a log formula, but I could not produce a formula that works.



    enter image description here




    linear-algebra logarithms




    share|cite|improve this question





















      up vote
      1
      down vote

      favorite









      up vote
      1
      down vote

      favorite











      I am trying to simulate a slider on a webpage that behaves non-linearly as shown in the illustration below.



      I want to generate a mathematical formula that can represent these states and also give all values in between. I thought this looked like something I can achieve with a log formula, but I could not produce a formula that works.



      enter image description here




      linear-algebra logarithms




      share|cite|improve this question











      I am trying to simulate a slider on a webpage that behaves non-linearly as shown in the illustration below.



      I want to generate a mathematical formula that can represent these states and also give all values in between. I thought this looked like something I can achieve with a log formula, but I could not produce a formula that works.



      enter image description here





      linear-algebra logarithms





      share|cite|improve this question










      share|cite|improve this question




      share|cite|improve this question









      asked Jul 15 at 9:59









      James Okpe George

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          You can achieve this with an exponential function.



          First define $x$ as a percentage on the slider.



          $f(x)=100times (sqrt[50]10)^x$



          If we evaluate $sqrt[50]10$, we get:



          $f(x)=100times 1.047129^x$



          When $x=50$, $f(50)=1000$. When $x=0$, $f(0)=100$.






          share|cite|improve this answer





















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            up vote
            1
            down vote



            accepted










            You can achieve this with an exponential function.



            First define $x$ as a percentage on the slider.



            $f(x)=100times (sqrt[50]10)^x$



            If we evaluate $sqrt[50]10$, we get:



            $f(x)=100times 1.047129^x$



            When $x=50$, $f(50)=1000$. When $x=0$, $f(0)=100$.






            share|cite|improve this answer

























              up vote
              1
              down vote



              accepted










              You can achieve this with an exponential function.



              First define $x$ as a percentage on the slider.



              $f(x)=100times (sqrt[50]10)^x$



              If we evaluate $sqrt[50]10$, we get:



              $f(x)=100times 1.047129^x$



              When $x=50$, $f(50)=1000$. When $x=0$, $f(0)=100$.






              share|cite|improve this answer























                up vote
                1
                down vote



                accepted







                up vote
                1
                down vote



                accepted






                You can achieve this with an exponential function.



                First define $x$ as a percentage on the slider.



                $f(x)=100times (sqrt[50]10)^x$



                If we evaluate $sqrt[50]10$, we get:



                $f(x)=100times 1.047129^x$



                When $x=50$, $f(50)=1000$. When $x=0$, $f(0)=100$.






                share|cite|improve this answer













                You can achieve this with an exponential function.



                First define $x$ as a percentage on the slider.



                $f(x)=100times (sqrt[50]10)^x$



                If we evaluate $sqrt[50]10$, we get:



                $f(x)=100times 1.047129^x$



                When $x=50$, $f(50)=1000$. When $x=0$, $f(0)=100$.







                share|cite|improve this answer













                share|cite|improve this answer



                share|cite|improve this answer











                answered Jul 26 at 19:48









                Peter Y.

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