Solving an Ln Equation | x+ln(x)=(1-e)/e

[@seanfraser3125]

(1-e)/e = 1/e - 1
Since ln(1/e) = -1, this gives the solution x = 1/e.
x + lnx is strictly increasing, so this is the only solution

[@maxvangulik1988]

Using the graph of the W function, it can only have 2 solutions if -1/e

[@남이명준-s1b]

I didn't know why the answer is 1/e.....
I understood it when I saw this video.

[@michaelbaum6796]

Very nice solution- thanks 👍

[@giuseppemalaguti435]

x=e^t... e^t+t=1/e-1...t=-1,x=1/e

[@SIB1963]

I really enjoy your videos.

[@SyberMath]

Glad you like them!

[@alextang4688]

W(x) function. 👍👍👍

[@Venu_GD]

Ah I see what you did there 😆

[@YahiaNebti]

I recommand for you this cubic :
x^3 +2x = 2

[@Chitin-qy7xy]

U r pretty good

[@SyberMath]

Appreciate it

[@broytingaravsol]

x=1/e

[@wonghonkongjames4495]

GOOD MORNING SIR
The solution of this problem can be found by x=e to the power of y
THEN (e tt y) + y = (e tt -1) -1
THEREFORE y = -1 x=e tt -1
Thank you

[@abdellahmouaouine]

حفظكم الله

[@SyberMath]

Thank you! 🥰🙏

[@kianmath71]

X = 1/e