logaritmen

Presentation

•

Mathematics

•

11th Grade

•

Practice Problem

•

Easy

Isil Saka

Used 3+ times

FREE Resource

8 Slides • 4 Questions

Logaritmen

lesdoelen:

rekenregels voor logaritmen

logarithmische vergelijkingen oplossen

9.3 Rekenen met logaritmen

Theorie A

Logaritme is de bewerking waarmee we een exponent kunnen berekenen:

als g^y = x dan is y = ^glog x

als 2^x = 5 dan is x = ²log 5
als 3^a = 8 dan is a = ³log 8
^glog g=1

Multiple Choice

als 5^b = 10 dan is b = ?

²log 5

⁵log 10

¹⁰log 5

Eigenschappen van de logaritmische functies

g^y = x dan is y = ^glog x.
Hierbij x > 0 en g > 0 en g ≠ 1
0<g<1: dalend
g > 1: stijgend

Poll

³log2x

dalend

stijgend

Theorie A

Multiple Choice

⁵log x + ⁵log 2x

⁵log 3x

⁵log 2x²

⁵log x²

Multiple Choice

herleid tot een logarithm

3+²log(3)

²log(24)

²log(18)

²log(81)

Theorie B

Het oplossen van logaritmische vergelijkingen

^glog (A)=^glog (B) volgt A=B

³log (8x)-³log (2)=³log (x+1)
³log (8x/2)=³log (x+1)
³log (4x)=³log (x+1)
4x=x+1
3x=1
x=1/3

Quizziz Zilver- Goud

Getal en Ruimte: opgave 35 t/m 43

Logaritmen

lesdoelen:

rekenregels voor logaritmen

logarithmische vergelijkingen oplossen

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