Equations-EMT

Algebra Level 2

\[\large \begin{cases} e^{mt} = emt+mt^e-1 \\ e^{mt} = emt+tm^e-1 \\ \ln(emt)=1 \end{cases} \]

Clarification: \(e \approx 2.71828\) denotes the Euler's number.

Let \(m\) and \(t\) be positive real numbers satisfying the system of equations above, find \(m+t \).

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