How do you expand ln(2x-1)(x+1)?

Dec 17, 2016

$\ln \left(2 x - 1\right) + \ln \left(x + 1\right)$

Explanation:

Using the $\textcolor{b l u e}{\text{law of logarithns}}$

$\textcolor{\mathmr{and} a n \ge}{\text{Reminder }} \textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{\log x + \log y \Leftrightarrow \log x y} \textcolor{w h i t e}{\frac{2}{2}} |}}}$
$\textcolor{w h i t e}{\times \times \times \times} \text{ applies to logs in any base}$

$\Rightarrow \ln \left(2 x - 1\right) \left(x + 1\right) = \ln \left(2 x - 1\right) + \ln \left(x + 1\right)$