Het aantal (reële) oplossingen van
log2 x = log x2
bedraagt

[ log2 x   staat voor   (log x)2 ]
A.   1
B.   2
C.   3
D.   4
E.   0
A    B    C    D    E

[ 6-4686 - op net sinds 1.10.05-(E)-27.10.2023 ]

Translation in   E N G L I S H

What is the number of (real) solutions
of the equation
log2 x = log x2

[ log2 x   stands for   (log x)2 ]
A.   1
B.   2
C.   3
D.   4
E.   0

Oplossing - Solution

log² x = log x²   (op te lossen in rplusnul )
(log x)² = 2.log x
(log x)² − 2.log x = 0
log x (log x − 2) = 0
log x = 0   ∨   log x = 2
  x = 1   ∨   x = 100