Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

Welk getal is gelijk aan log 2 ?	A.	$\sqrt 2.\log 2$
	B.	$2.\log 2$
	C.	$\frac{\log 2}{\sqrt 2}$
	D.	$\log 4$
	E.	$-\; log \frac{1}{\sqrt 2}$

[ 4-0754 - op net sinds 27.12.97-(E)-21.7.2024 ]

Translation in E N G L I S H

Which number (expression) equals log 2 ?	A.	$\sqrt 2.\log 2$
	B.	$2.\log 2$
	C.	$\frac{\log 2}{\sqrt 2}$
	D.	$\log 4$
	E.	$-\; log \frac{1}{\sqrt 2}$

Oplossing - Solution

${\color{Cyan} \mid } \newline {\color{DarkGreen} \frac{1}{2}log\: 2 =-\left ( -\frac{1}{2} \right )\cdot log\: 2 =-log\: 2^{-\frac{1}{2}} =-log\frac{1}{2^{\frac{1}{2}}} =-log\frac{1}{\sqrt{2}} }$