½log (x²-3) -½logx = -1

Logaritma , X

^½ log (x²-3) – ^½ log x = -1
^½ log ((x²-3)/x) = -1
(x² – 3) /x = (½)^(-1)
(x²-3) /x = 2
x² – 3 = 2x
x² – 2x – 3 = 0
(x – 3)(x + 1) = 0
x = 3
x = -1

-1 tidak terpakai krn numerus logaritma tidak blh negatif

jawab : x = 3

Log(1/2) (x^2 – 3) – log(1/2) (x) = -1
log (1/2) (x^2 – 3) = log (1/2) (x) – 1
log (1/2) (x^2 – 3) = log (1/2) (x) – log(1/2) 1/2
log (1/2) (x^2 – 3) = log (1/2) (x ÷ 1/2)
log (1/2) (x^2 – 3) = log (1/2) 2x
x^2 – 3 = 2x
x^2 – 2x – 3 = 0
(x – 3)(x + 1) = 0

x1 – 3 = 0
x1 = 3

x2 + 1 = 0
x2 = -1 (tidak memenuhi)

HP : {3}