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.  \(\large\boldsymbol{e^{\frac {\ln 7} {4} }}\)
A    B    C    D    E

[ 6-3372 - op net sinds 29.5.15-(E)-28.10.2026 ]

Translation in   E N G L I S H

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

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