Question

O valor da equação log x + log(x+1) - log 2x = 0 é:

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{log\:x + log\:(x + 1) - log\:2x = 0}$

$\mathsf{log\:x + log\:(x + 1) = log\:2x}$

$\mathsf{log\:x.(x + 1) = log\:2x}$

$\mathsf{log\:(x^2 + x) = log\:2x}$

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

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

$\mathsf{x.(x - 1) = 0}$

$\mathsf{x - 1 = 0}$

$\mathsf{x = 1}$

$\boxed{\boxed{\mathsf{S = \{1\}}}}$