Minta tolong ini gmana ya caranya Log(logx-1) + Iog2 =Iog log x ? Yang bisa tolong bantu

Materi Logaritma [tex] \log \log (x-1) + \log 2 = \log \log x \\ \log(2\log (x - 1)) = \log \log x \\ 2 \log(x-1) = \log (x-1)^2 = \log x \\ (x-1)^2 - x = 0 \\ x^2 - 3x + 1 = 0 \\ \boxed{x = \frac{3 + \sqrt{5}}{2} \lor x = \frac{3 - \sqrt{5}}{2}} [/tex]