1000^(x^2-3x-4)=10^(×^2-2x-3) adalah

[tex] 1000^{ x^{2} -3x-4} = 10^{ x^{2} -2x-3} \\ 10^{3( x^{2} -3x-4)} = 10^{ x^{2} -2x-3[/tex]
3(x² - 3x - 4) = x² - 2x - 3
3x² - 9x - 12 = x² - 2x - 3
2x² - 7x - 9 = 0
(2x - 9) (x + 1) = 0
x = 9/2   //   x = -1

[tex]$\begin{align} 1000^{x^2 - 3x - 4} &= 10^{x^2 - 2x - 3} \\ 10^{3(x^2 -3x-4)}&= 10^{x^2 - 2x - 3} \\ 3x^2 - 9x - 12 &= x^2 - 2x - 3 \\ 2x^2 - 7x -9&= 0 \\ (2x - 9)(x+ 1)&= 0 \\\\ 2x &= 9 \\ x &= \frac{9}{2} \\ &or \\ x &= - 1 \end{align}[/tex]