# How do you solve ln(-2x)=ln(3x+10)?

Sep 4, 2016

$x = - 2$
Using the $\textcolor{b l u e}{\text{law of logarithms}}$
$\textcolor{\mathmr{and} a n \ge}{\text{Reminder }} \textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{\ln x = \ln y \Rightarrow x = y} \textcolor{w h i t e}{\frac{a}{a}} |}}}$
$\Rightarrow - 2 x = 3 x + 10 \Rightarrow - 5 x = 10 \Rightarrow x = - 2$