Tentukan himpunan penyelesaian persamaan logaritma berikut log x = 2(log 45 - log 5) + 1⁄2 log 64

Halo Noviana, kakak bantu jawab ya Jawaban: {648} Konsep: Persamaan Logaritma Jika log (x) = log (y) maka x = y Ingat beberapa sifat logaritma: • log (x) - log (y) = log (x/y) • n . log (x) = log (x)^n • log (x) + log (y) = log (xy) Pembahasan: log (x) = 2 (log (45) – log (5)) + ½ . log (64) log (x) = 2 (log (45/5)) + ½ . log (64) log (x) = 2 (log (9)) + ½ . log (64) log (x) = log (9)^2 + log (64)^1/2 log (x) = log (81) + log (8) log (x) = log (81.8) log (x) = log (648) x = 648 Jadi, himpunan penyelesaian persamaan logaritma tersebut adalah {648} Semoga membantu ya