solve each equation or inequality. Round to four decimal places
1. ln(-2x)=7
$$\\ln(-2x)=7\\\\ -2x=e^7\\\\ x=\frac{-e^7}{2}\\\\$$
$${\mathtt{\,-\,}}{\frac{{{\mathtt{e}}}^{{\mathtt{7}}}}{{\mathtt{2}}}} = -{\mathtt{548.316\: \!579\: \!214\: \!229\: \!299\: \!6}}$$
$$ln(-2x) = 7$$
By the definition of the natural log,
$$-2x = e^7$$
$$x = -\frac{e^7}{2} \approx 548.32$$