4.02: Stationary point of an exponential quotient

Show that \(\dfrac{\mathrm{d}y}{\mathrm{d}x}=0\) leads to \(\mathrm{e}^{2x}+4\mathrm{e}^x-4=0\).

Find the \(x\)-coordinate of the stationary point in the form \(\ln(a\sqrt b+c)\), where \(a\), \(b\) and \(c\) are integers.