Question

Tentukan himpunan dari ^2log x + ^2log (x+2) = 3 !

Answer 1

Verified answer

Materi : Persamaan Logaritma

Pembahasan :
²log x + ²log (x + 2) = 3
²log x(x + 2) = 3
²log (x² + 2x) = 3 . ²log 2
²log (x² + 2x) = ²log 8
x² + 2x = 8
x² + 2x - 8 = 0
(x + 4)(x - 2) = 0
x = -4
x = 2

Hp : {-4 , 2}