Solve Exponential Function x for y: x = (e^y-e^{-y})/2

[expscv]

solve $$x =(e^y-e^{-y})/2$$ for y in terms of x

i kinda forgot how to do it~~~sign

any help appreciated

thx


could anyone move this to homework k-12 section thanks

sorry about this

 

[matt grime]

It's a quadratic in e^y, albeit disguised. You'd have no problem solving

2x= t - 1/t

 

[Oggy]

$$2x=e^{y}-e^{-y}$$
$$2x\cdot e^{y}=e^{2y}-1$$
$$e^{y}=\frac{2x\pm\sqrt{4x^{2}+4}}{2}$$
$$y=ln{(x\pm\sqrt{x^{2}+1})}$$

 

[dextercioby]

The idea was that the OP would use Matt's suggestion and make the calculations on his/her own.
Please,do not provide full answers,once the 'HINTS' have been given...

Daniel.

 

[expscv]

cool thanks for the hint and the answer