Repeating Power

Calculus Level 4

ex+ex+ex+ex+=10\Large{ e^{x+e^{x+e^{x+e^{x+\cdot^{\cdot^\cdot}}}}}=10}

Find the value of xx 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 xx exists.

Clarification: ee denotes Euler's number, e2.71828e \approx 2.71828.

×

Problem Loading...

Note Loading...

Set Loading...