Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

${\color{Blue}\frac{\ln 5}{\ln 3}}$ ln : natuurlijke of Neperiaanse logaritmen log : Briggse logaritmen	A. $\large\boldsymbol{\frac {\log 5} {\log 3} }$
	B. $\boldsymbol{\ln 2}$
	C. $\boldsymbol{\ln\frac 53 }$
	D. $\boldsymbol{\ln 5 - \ln 3 }$
	E. $\large\boldsymbol{\frac {\log 3} {\log 5} }$

[ 5-2496 - op net sinds 24.12.10-(E)-20.7.2024 ]

Translation in E N G L I S H

$\frac{\ln 5}{\ln 3}$ ln : natural logarithm log : Briggs' logarithm	A. $\large\boldsymbol{\frac {\log 5} {\log 3} }$
	B. $\boldsymbol{\ln 2}$
	C. $\boldsymbol{\ln\frac 53 }$
	D. $\boldsymbol{\ln 5 - \ln 3 }$
	E. $\large\boldsymbol{\frac {\log 3} {\log 5} }$

Oplossing - Solution

$https://latex.codecogs.com/png.image?\dpi{110}\\\text{Denk aan de Change-Of-Base formule :}\;\log_ab=\frac{\log_cb}{\log_ca}\\\text{Om die reden is }\;\log_35=\frac{\log_c 5}{\log_c 3}=\frac{\log 5}{\log 3}=\frac{\ln 5}{\ln 3}$

${\color{Blue}\frac{\ln 5}{\ln 3}}$ ln : natuurlijke of Neperiaanse logaritmen log : Briggse logaritmen	A. \(\large\boldsymbol{\frac {\log 5} {\log 3} }\)
	B. \(\boldsymbol{\ln 2}\)
	C. \(\boldsymbol{\ln\frac 53 }\)
	D. \(\boldsymbol{\ln 5 - \ln 3 }\)
	E. \(\large\boldsymbol{\frac {\log 3} {\log 5} }\)

$\frac{\ln 5}{\ln 3}$ ln : natural logarithm log : Briggs' logarithm	A. \(\large\boldsymbol{\frac {\log 5} {\log 3} }\)
	B. \(\boldsymbol{\ln 2}\)
	C. \(\boldsymbol{\ln\frac 53 }\)
	D. \(\boldsymbol{\ln 5 - \ln 3 }\)
	E. \(\large\boldsymbol{\frac {\log 3} {\log 5} }\)