^a log (3x+1) . ^(2x+1) log a =2

Mapel Matematika
Bab Logaritma

^a log (3x+1) . ^(2x+1) log a =2

^(2x + 1) log(3x + 1) = 2
(2x + 1)^2 = 3x + 1
4x^2 + 4x + 1 = 3x + 1
4x^2 + x = 0
x(4x + 1) = 0

x = 0
x = -1/4

Pelajaran : Matematika

Jawaban :
3x+1=(2x+1)²
3x+1=4x² + 4x + 1
0= 4x² + 4x -3x +1 -1
0= 4x² + x
4x² + x = 0
x (4x + 1) = 0
x = 0
x = – 1/4

Semangat!