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ex+ex+ex+ex+⋅⋅⋅=10\Large{ e^{x+e^{x+e^{x+e^{x+\cdot^{\cdot^\cdot}}}}}=10}ex+ex+ex+ex+⋅⋅⋅=10
Find the value of xxx satisfying the infinitely nested function above.
Give your answer to 3 decimal places.
Enter 0.666 if you come to the conclusion that no such xxx exists.
Clarification: eee denotes Euler's number, e≈2.71828e \approx 2.71828e≈2.71828.
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