Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

$\LARGE -\log \frac{\sqrt{2}}2{}=$	A.	$\frac{\log 2}{2}$
	B.	$\log \left ( -\frac{\sqrt{2}}{2} \right )$
	C.	$\log \left ( \frac{1}{\sqrt 2} \right )$
	D.	$-\frac 32\log 2$
	E.	$\text{bestaat niet}$

[ 5,6-0752 - op net sinds 17.4.11-(E)-30.10.2023 ]

Translation in E N G L I S H

$\LARGE -\log \frac{\sqrt{2}}2{}=$	A. $\frac{\log 2}{2}$
	B. $\log \left ( -\frac{\sqrt{2}}{2} \right )$
	C. $\log \left ( \frac{1}{\sqrt 2} \right )$
	D. $-\frac 32\log 2$
	E. $\text{does not exist}$

Oplossing - Solution

$-\log\frac{\sqrt 2}{2}=-\log\frac{1}{\sqrt 2}=\log \sqrt 2=\frac 12 \log 2$

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