Solve for x y=1/2(e^(2x)-e^(-2x))

$y = \frac{1}{2} (e^{2 x} - e^{- 2 x})$

Rewrite the equation as $\frac{1}{2} \cdot (e^{2 x} - e^{- 2 x}) = y$ .

$\frac{1}{2} \cdot (e^{2 x} - e^{- 2 x}) = y$

Simplify $\frac{1}{2} \cdot (e^{2 x} - e^{- 2 x})$ .

Apply the distributive property.

$\frac{1}{2} e^{2 x} + \frac{1}{2} (- e^{- 2 x}) = y$

Combine $\frac{1}{2}$ and $e^{2 x}$ .

$\frac{e^{2 x}}{2} + \frac{1}{2} (- e^{- 2 x}) = y$

Combine $\frac{1}{2}$ and $e^{- 2 x}$ .

$\frac{e^{2 x}}{2} - \frac{e^{- 2 x}}{2} = y$