Question

Simplifique as explicações logaritmicas log³(108)- 2log³(2)+log⁵(12.5)+log⁵(10)

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\sf log_3\:108 - 2\:.\:log_3\:2 + log_5\:12,5 + log_5\:10$

$\sf log_3\:(4\:.\:27) - log_3\:2^2 + log_5\left(\dfrac{125}{10}\right) + log_5\:10$

$\sf log_3\:(4\:.\:3^3) - log_3\:2^2 + log_5\left(\dfrac{5^3}{10}\right) + log_5\:10$

$\sf log_3\:4 + 3\:.\:log_3\:3 - log_3\:4 + 3\:.\:log_5\:5 - log_5\:10 + log_5\:10$

$\boxed{\boxed{\sf log_3\:108 - 2\:.\:log_3\:2 + log_5\:12,5 + log_5\:10 = 6}}$