Expotential function

1. Feb 24, 2005

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 thx

Last edited: Feb 24, 2005
2. Feb 24, 2005

matt grime

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

2x= t - 1/t

3. Feb 24, 2005

Oggy

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

4. Feb 24, 2005

dextercioby

The idea was that the OP would use Matt's suggestion and make the calculations on his/her own.