2log(x+1)+2log(5-x)-2log(x-2)=3

²log(x + 1) + ²log(5 - x) - ²log(x - 2) = 3
²log((x + 1)(5 - x))/(x - 2) = ²log 8

[tex]$\begin{align} \frac{(x + 1)(5 - x)}{x - 2} &= 8 \\ -x^2 + 4x + 5&= 8(x - 2) \\ -x^2 + 4x + 5 &= 8x - 16 \\ x^2 + 4x - 21&= 0 \\ (x + 7)(x - 3)&= 0 \\\\ untuk ~~x = -7 ~~tidak~memenuhi~persamaan~~Jadi~jawabannya~~x = 3\end{align}[/tex]