I have this simple equation to solve (1 == 62.5*E^(-30*10^6/x), {x}), and Mathematica is able to give a correct answer. However, there is this warning message () I don't understand, can anyone elaborate what this message means?
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There are many complex-valued solutions; Mathematica gives you the unique real-valued one here but warns you about the loss of generality. If you want all solutions, try
Reduce[1 == 125/2*E^(-30*10^6/x), x]
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1$\begingroup$ Or
Solve[1 == 125/2*E^(-30*10^6/x), x, Method -> Reduce]
$\endgroup$ – Bob Hanlon Jan 10 at 19:30 -
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Tell Mathematica that you search for a real solution:
Solve[1 == 125/2*E^(-30*10^6/x), x, Reals]
(*{{x -> -(30000000/(Log[2] - 3 Log[5]))}}*)