Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

De enige oplossing van de vergelijking $https://latex.codecogs.com/png.image?\dpi{110}\sqrt[3]{4}=8^x$ is	A.
	B. 2
	C.
	D.
	E.

[ 5-4105 - op net sinds 25.10.14-(E)-30.10.2023 ]

Translation in E N G L I S H

The only solution of the equation $https://latex.codecogs.com/png.image?\dpi{110}\sqrt[3]{4}=8^x$ is	A.
	B. 2
	C.
	D.
	E.

Oplossing - Solution

${\color{DarkGreen} \sqrt[3]{4}=8^x\Leftrightarrow \sqrt[3]{2^2}=(2^3)^x\Leftrightarrow 2^{\frac{2}{3}}=2^{3x}\Leftrightarrow \frac{2}{3}=3x\Leftrightarrow x=\frac{2}{9}}$