Solution to exponential equation

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I am trying to solve an equation for the ratio of a logistic model to an exponential model.



$$f(x)=2064.79times(1.00089)^x$$
$$g(x)=frac134.6641+19.8553times e^-0.009944x+2754.48$$



Then how does one analytically solve the equation $fracf(x)g(x)=2$?



Any help is much appreciated.







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  • 2




    Consider some numerical method. No analytical solution.
    – Claude Leibovici
    Aug 25 at 5:46











  • Thanks a lot! Your help is valuable.
    – Arunav MAHESHWARI
    Aug 26 at 8:57










  • Numerically, no problem at all.
    – Claude Leibovici
    Aug 26 at 9:43














up vote
0
down vote

favorite












I am trying to solve an equation for the ratio of a logistic model to an exponential model.



$$f(x)=2064.79times(1.00089)^x$$
$$g(x)=frac134.6641+19.8553times e^-0.009944x+2754.48$$



Then how does one analytically solve the equation $fracf(x)g(x)=2$?



Any help is much appreciated.







share|cite|improve this question
















  • 2




    Consider some numerical method. No analytical solution.
    – Claude Leibovici
    Aug 25 at 5:46











  • Thanks a lot! Your help is valuable.
    – Arunav MAHESHWARI
    Aug 26 at 8:57










  • Numerically, no problem at all.
    – Claude Leibovici
    Aug 26 at 9:43












up vote
0
down vote

favorite









up vote
0
down vote

favorite











I am trying to solve an equation for the ratio of a logistic model to an exponential model.



$$f(x)=2064.79times(1.00089)^x$$
$$g(x)=frac134.6641+19.8553times e^-0.009944x+2754.48$$



Then how does one analytically solve the equation $fracf(x)g(x)=2$?



Any help is much appreciated.







share|cite|improve this question












I am trying to solve an equation for the ratio of a logistic model to an exponential model.



$$f(x)=2064.79times(1.00089)^x$$
$$g(x)=frac134.6641+19.8553times e^-0.009944x+2754.48$$



Then how does one analytically solve the equation $fracf(x)g(x)=2$?



Any help is much appreciated.









share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Aug 25 at 5:39









Arunav MAHESHWARI

34




34







  • 2




    Consider some numerical method. No analytical solution.
    – Claude Leibovici
    Aug 25 at 5:46











  • Thanks a lot! Your help is valuable.
    – Arunav MAHESHWARI
    Aug 26 at 8:57










  • Numerically, no problem at all.
    – Claude Leibovici
    Aug 26 at 9:43












  • 2




    Consider some numerical method. No analytical solution.
    – Claude Leibovici
    Aug 25 at 5:46











  • Thanks a lot! Your help is valuable.
    – Arunav MAHESHWARI
    Aug 26 at 8:57










  • Numerically, no problem at all.
    – Claude Leibovici
    Aug 26 at 9:43







2




2




Consider some numerical method. No analytical solution.
– Claude Leibovici
Aug 25 at 5:46





Consider some numerical method. No analytical solution.
– Claude Leibovici
Aug 25 at 5:46













Thanks a lot! Your help is valuable.
– Arunav MAHESHWARI
Aug 26 at 8:57




Thanks a lot! Your help is valuable.
– Arunav MAHESHWARI
Aug 26 at 8:57












Numerically, no problem at all.
– Claude Leibovici
Aug 26 at 9:43




Numerically, no problem at all.
– Claude Leibovici
Aug 26 at 9:43















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