tentukan penyelsaian persamaan log pangkat 2 (x+3)-log (×+3) pangkat 5 = log 1.000.000

log²(x + 3) - 5 log (x + 3) = log 10^6
log²(x + 3) - 5 log (x + 3) = 6
log²(x + 3) - 5 log (x + 3) - 6 = 0

misal log (x + 3) = a

a² - 5a - 6 = 0
(a - 6)(a + 1) = 0
a = 6   a = -1

log (x + 3) = 6
 x + 3 = 10^6
x = 1.000.000 - 3
x = 999.997 (termasuk himpunan karena hasilnya positif)

log (x + 3) = -1
x + 3 = 10^-1
x = 1/10 - 3
x = - 29/10 (bukan termasuk himpunan karena hasilnya negatif)