½log(x² – 3) – ½logx = –1 yaitu ….
Pembahasan:
½log(x² – 3) – ½logx = –1
2⁻¹log(x² – 3) – 2⁻¹logx = ² log 2⁻¹
–1.²log(x² – 3) – (–1)² log x = ²log½
– ²log(x² – 3) + ²log x = ² log ½
² log x ₌ ² log ½
x² – 3
x ₌ 1
x² – 3 2
x² – 3 = 2x
x² – 2x – 3 = 0
(x² – 2x – 3) = 0
(x + 1)(x – 3) = 0
x = -1 atau x = 3
Untuk x = –1 tidak memenuhi,
Makara x = 3