Question

Silly little problem, solve for x:

Answer 1

\[\Large 2 \sinh(\ln x)=1\]

Answer 2

If I apply the definition of sinh x, I get:

Answer 3

The answer is kind of a special number

Answer 4

\[x ^{2}-2x-1=0\]
the unique acceptable solution is:

Answer 5

\[x=\frac{ 1+\sqrt{5} }{ 2 }\]
namely the golden number!!!!!

Answer 6

oops the equation is:
\[x ^{2}-x-1=0\]

Answer 7

This was cute :)

Answer 8

that's true! @iambatman

Answer 9

Haha yep. I sort of accidentally came across this while trying to find an alternate path to solving eliassaab's problem. Alright merry xmas peeps, that's all I've got for today lol.

Answer 10

merry xmas to all!! @Kainui @iambatman

Answer 11

Haha, Merry Christmas! :P