Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

De (positieve) vierdemachtswortel van 7 kan ook geschreven worden als	A. \(\large\boldsymbol{e^{\frac 74} }\)
	B. \(\boldsymbol{\log\:{e^{-\,\frac 74} }}\)
	C. \(\large\boldsymbol{e^{(7^{\,\frac 14}) }}\)
	D. \(\large\boldsymbol{\frac {\ln e^7} {4} }\)
	E. \(\large\boldsymbol{e^{\frac {\ln 7} {4} }}\)

[ 6-3372 - op net sinds 29.5.15-(E)-30.10.2023 ]

Translation in E N G L I S H

$https://latex.codecogs.com/png.image?\inline \LARGE \dpi{110}\sqrt[4]{7}=$	A. \(\large\boldsymbol{e^{\frac 74} }\)
	B. \(\boldsymbol{\log\:{e^{-\,\frac 74} }}\)
	C. \(\large\boldsymbol{e^{(7^{\,\frac 14}) }}\)
	D. \(\large\boldsymbol{\frac {\ln e^7} {4} }\)
	E. \(\large\boldsymbol{e^{\frac {\ln 7} {4} }}\)

Oplossing - Solution

$\\ \text{We steunen op de formule }\; x = e^{ln \; x}\\ \sqrt[4]{7}= e^{\ln {\sqrt[4]{7}}}=e^{\frac14 \ln 7}=e^{\frac{\ln 7}{4}}$

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