Question

Log5 5X + Log5 X = 2 - Log5 X​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo-a-passo:

$\mathsf{log_5\:5x + log_5\:x = 2 - log_5\:x}$

$\mathsf{log_5\:5x^2 = 2 - log_5\:x}$

$\mathsf{log_5\:5x^2 = log_5\:25 - log_5\:x}$

$\mathsf{log_5\:5x^2 = log_5\:\dfrac{25}{x}}$

$\mathsf{5x^2 = \dfrac{25}{x}}$

$\mathsf{5x^3 = 25}$

$\mathsf{x^3 = 5}$

$\boxed{\boxed{\mathsf{x = \sqrt[3]{5}}}}$