Tentukan himpunan persamaan logaritma ³log(x-4) + ³log(x+4)=2
Matematika
nandadarah
Pertanyaan
Tentukan himpunan persamaan logaritma ³log(x-4) + ³log(x+4)=2
1 Jawaban
-
1. Jawaban AstrajinggaBadranaya
³log(x - 4) + ³log(x + 4) = 2
³log(x - 4) + ³log(x + 4) = ³log3²
³log(x - 4)(x + 4) = ³log9
(x - 4)(x + 4) =9
x² - 16= 9
x² - 16 - 9 = 0
x² - 25 = 0
(x + 5)(x - 5) = 0
x + 5 = 0
x = -5
x - 5 = 0
x = 5
HP = {-5, 5}