Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

\(\large - \ln \frac{\sqrt{3}}{3}= \)	A. 0
B. \(\frac {\ln 3} {2} \)
C. \(\frac {\ln 3} {3} \)
D. \(\ln \;(-\,\frac {\sqrt 3} {3}) \)
E. \(\ln \frac {1} {\sqrt 3} \)

$https://latex.codecogs.com/png.image?\dpi{110}\\{\color{DarkGreen} 1^{ste}\;manier\;: }\\ -\ln\frac{\sqrt 3}{3}=\ln\left ( \frac{\sqrt 3}{3} \right )^{-1}=\ln\frac{3}{\sqrt 3}=\ln\sqrt 3=\frac12\ln3\\{\color{DarkGreen} 2^{de}\;manier\;: }\\ -\ln\frac{\sqrt 3}{3}=-\left ( \ln\sqrt3 - \ln3 \right ) =\ln3-\ln\sqrt3=\ln3-\frac12\ln3=\frac12\ln3$