Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

$https://latex.codecogs.com/png.image?\inline \large \dpi{120}\frac{\log\frac ab}{\log\frac ba}=$	A. $\boldsymbol{ 1 }$
	B. $\boldsymbol{2.\log\frac ab}$
	C. $\boldsymbol{-1 }$
	D. $\large\boldsymbol{\frac {a^2} {b^2} }$
	E. $\boldsymbol{0}$

[ 4-0485 - op net sinds 1.10.99-(E)-30.10.2023 ]

Translation in E N G L I S H

see above

Oplossing - Solution

$\frac{\log \frac ab}{\log \frac ba}=\frac{\log a - \log b}{\log b - \log a}=-1$
want de teller is het tegengestelde van de noemer
(x-y is tegengesteld aan y-x)

$https://latex.codecogs.com/png.image?\inline \large \dpi{120}\frac{\log\frac ab}{\log\frac ba}=$	A. \(\boldsymbol{ 1 }\)
	B. \(\boldsymbol{2.\log\frac ab}\)
	C. \(\boldsymbol{-1 }\)
	D. \(\large\boldsymbol{\frac {a^2} {b^2} }\)
	E. \(\boldsymbol{0}\)