Samenvatting Oefentoets hoofdstuk 9 EXPONENTIËLE EN LOGARITMISCHE FUNCTIES inclusief uitwerkingen Getal & Ruimte VWO Deel 3
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Course
Wiskunde B
Level
VWO / Gymnasium
Oefentoets hoofdstuk 9 EXPONENTIËLE EN LOGARITMISCHE FUNCTIES inclusief uitwerkingen Getal & Ruimte VWO Deel 3. Perfecte voorbereiding op de toets met vergelijkbare vragen en goede en duidelijke uitleg in de uitwerkingen die bij dit document gratis zitten.
OEFENPROEFWERK VWO B DEEL 3
HOOFDSTUK 9 EXPONENTIËLE EN LOGARITMISCHE FUNCTIES
OPGAVE 1
Bereken exact.
1p a 5log( 251 5)
4
e
3p b 3ln 2
2 ln 2 (e3 )
e
1
4 4
2p c log(32) log(16) 4
log(8)
OPGAVE 2
2p a Herleid de formule K 120 15 42q 5 tot de vorm q a b 4 log(c dK ).
ln(9) 1
3p b Herleid 3 3ln(4) tot één logaritme.
2
1
3p c Herleid 12 3 log(729) 1 1 12 3 log(4) tot één logaritme.
e2 x 2e x 3
3p d Herleid .
e2 x 1
OPGAVE 3
Los exact op.
3p a 6 ln( x 3) 7 1
2 ln( x 3)
3
3p b e2 x 1
e2 x 0
1
5p c 3 2log 2 ( x 4) 2 15 8 log( x 4)
5p d 22 x 1 2x 4 4x 2x 1
OPGAVE 4
Differentieer.
2p a f ( x) 2 x ln 2 ( x 1)
2p b g ( x) x 2 1 e5 x
2p c h( x) 5log( x 4 1)
22 x 1
2p d j ( x) 1x 2
83
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