Question

Resolva em R, a equação ℓog3 (x + 1) + ℓog3 (x – 1) = log3 3.​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo-a-passo:

$\mathsf{log_3\:(x + 1) + log_3\:(x - 1) = log_3\:3}$

$\mathsf{log_3\:(x + 1).(x - 1) = log_3\:3}$

$\mathsf{(x + 1).(x - 1) = 1}$

$\mathsf{x^2 - x + x - 1 = 1}$

$\mathsf{x^2 - 1 = 1}$

$\mathsf{x^2 = 2}$

$\mathsf{x = \pm\:\sqrt{2}}$

$\boxed{\boxed{\mathsf{S = \{\:\sqrt{2}\:\:\}}}}\leftarrow\textsf{somente essa atende}$