problem using the solve method

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Ej
Ej il 3 Ott 2022
Risposto: Torsten il 3 Ott 2022
i am trying to solve for t when the following equation: 1000/(exp(log(4) - t/40) + 1) is equal to 800, but matlab wont give me an exact solution. This is my code and what the outcome is:
>> syms t
>> eqn = 1000/(exp(log(4) - t/40) + 1) == 800;
>> solve(eqn, t)
ans =
80*log(2) + 31216573840826795/562949953421312
How do iget it to give me the exact solution (which should be around 110.9)

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Torsten
Torsten il 3 Ott 2022
Ran in:
syms t
eqn = 1000/(exp(log(4) - t/40) + 1) == 800;
tsol = vpa(solve(eqn, t))
tsol = 
110.90354888959124765151968835627

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