De oplossing
van de
vergelijking
3
x
+ 9
x
= 6
is
A.
ln 2
ln 3
B.
2
3
C.
ln 3
ln 2
D.
ln 6
ln 2
E.
ln 6
3.ln 3
[ 6-6287 - op net sinds 4.4.2020-(E)-20.10.2023 ]
Translation in E N G L I S H
What is the solution
of the equation
3
x
+ 9
x
= 6
A.
B.
C.
D.
E.
Oplossing - Solution
3
x
+ 9
x
= 6 ⇔ 3
x
+ 3
2x
= 6
⇔ y² + y − 6 = 0 ∧ y = 3
x
⇔ (y − 2)(y + 3) = 0 ∧ y = 3
x
⇔ ( y = 2 ∨ y = −3) ∧ y = 3
x
⇔ 2 = 3
x
⇔ ln 2 = x.ln 3 ⇔ x = . . .
