Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

$\log \frac ab - \log \frac cd$ is gelijk aan de logaritme van	A. \(\large\boldsymbol{\frac {ac}{bd} }\)
	B. \(\large\boldsymbol{\frac {ad}{bc} }\)
	C. \(\boldsymbol{ad-bc}\)
	D. \(\large\boldsymbol{\frac ab-\frac dc }\)
	E. \(\large\boldsymbol{\frac ab-\frac cd }\)

[ 5,6-1929 - op net sinds 8.10.11-(E)-30.10.2023 ]

Translation in E N G L I S H

$\log \frac ab - \log \frac cd$ equals the logarithm of	A. \(\large\boldsymbol{\frac {ac} {bd} }\)
	B. \(\large\boldsymbol{\frac {ad} {bc} }\)
	C. \(\boldsymbol{ad-bc}\)
	D. \(\large\boldsymbol{\frac ab-\frac dc }\)
	E. \(\large\boldsymbol{\frac ab-\frac cd }\)

Oplossing - Solution

$\\ \log \frac ab - \log \frac cd = \log a -\log b -(\log c - \log d) = \log a + \log d -\log b - \log c\\ = (\log a + \log d) -(\log b + \log c) = \log (ad)- \log (bc)=\log \frac{ad}{bc}$

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