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Closed form Trascendental Equation

Posted 5 months ago

Hi, is there a way to solve symbolically this equation for t:

Solve[HP (-1 + (
     LTV (-1 + (1 + r)^t - r (1 + r)^n t))/(-1 + (1 + r)^
      n) + (1 + \[Gamma])^t) == 0, {t}, Reals]

Knowing that 0 < gamma/r < 1 and n is integer?

POSTED BY: Pino Savana

I very much doubt it can be done, even after leaving only one parameter:

With[{n = 2, \[Gamma] = 1, r = 2},
 Solve[(-1 + (LTV (-1 +
          (1 + r)^t - r (1 + r)^n t))/
      (-1 + (1 + r)^n) +
     (1 + \[Gamma])^t) == 0, t, Reals]]
POSTED BY: Gianluca Gorni
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