Question

Ajudem!!
log8 x^2 -6x = log8 14-x

Answer 1

log8 x^2 -6x = log8 14-x

x^2 -6x = 14-x

x² -5x -14 = 0

b/c = -5/-14 = 2- 7/ 2 • -7

(x +2) . (x -7) = 0

x'=-2. x"=7

Answer 2

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{log_8\:x^2 - 6x = log_8\:14 - x}$

$\mathsf{x^2 - 6x = 14 - x}$

$\mathsf{x^2 - 5x - 14 = 0}$

$\mathsf{\Delta = b^2 - 4.a.c}$

$\mathsf{\Delta = (5)^2 - 4.1.(-14)}$

$\mathsf{\Delta = 25 + 56}$

$\mathsf{\Delta = 81}$

$\mathsf{x = \dfrac{-b \pm \sqrt{\Delta}}{2a} = \dfrac{5 \pm \sqrt{81}}{2} \rightarrow \begin{cases}\mathsf{x' = \dfrac{5 + 9}{2} = \dfrac{14}{2} = 7}\\\\\mathsf{x'' = \dfrac{5 - 9}{2} = -\dfrac{4}{2} = -2}\end{cases}}$

$\boxed{\boxed{\mathsf{S = \{7;-2\}}}}$