Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

$https://latex.codecogs.com/png.image?\dpi{110}\log \frac{1}{\sqrt{xy^2}}=$	A. 1 − log x − log y
	B. 1 − log x + log y
	C. log x + log y
	D. log x + log y
	E. log x − log y

[ 4-2123 - op net sinds 27.12.99-()-3.11.2023 ]

Translation in E N G L I S H

See above

Oplossing - Solution

$https://latex.codecogs.com/png.image?\dpi{110}\\\log\frac{1}{\sqrt{xy^2}}=\log 1-\log\sqrt{xy^2}=-\frac 12 \log(xy^2)=-\frac 12(\log x + \log y^2)\\. \qquad \qquad=-\frac 12(\log x + 2\log y)=-\frac 12 \log x- \log y$