Question

me ajuda nessa questão de logaritmo log4 5 +log4 9​

Answer 1

Resposta:

(1/2 + log 3)/(log 2) - 1/2 ~ 2,746

Explicação passo-a-passo:

Temos:

log4 5 +log4 9 =

(log 5 / log 4) + (log 9 / log 4) =

(log 5 + log 9) / log 4 =

(log 10/2 + log 3^2) / log 2^2 =

(log 10 - log 2 + 2.log 3) / 2.log 2 =

(1 - log 2 + 2.log 3) / 2.log 2 =

(1 + 2.log 3)/(2.log 2) - (log 2)/(2.log 2) =

2(1/2 + log 3)/(2. log 2) - (1/2) =

(1/2 + log 3)/(log 2) - 1/2 ~ 2,746

Blz?

Abs :)