problem using the solve method

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)

Answer 1

[Torsten]

syms t
eqn = 1000/(exp(log(4) - t/40) + 1) == 800;
tsol = vpa(solve(eqn, t))

tsol = 

110.90354888959124765151968835627