Repeating Power
Calculus
Level
3
\[\Large{ e^{x+e^{x+e^{x+e^{x+\cdot^{\cdot^\cdot}}}}}=10}\]
Find the value of \(x\) 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 \(x\) exists.
Clarification: \(e\) denotes Euler's number, \(e \approx 2.71828\).
by
Arthur von Da