Question

CALCULE LOG 1225 NA BASE 5 , SABENDO QUE LOG DE 7 NA BASE 5 =1,21

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{log_5\:7 = 1,21}$

$\mathsf{log_5\:1225 = log_5\:5^2.7^2}$

$\mathsf{log_5\:1225 = 2\:log_5\:5 + 2\:log_5\:7}$

$\mathsf{log_5\:1225 = 2(1) + 2(1,21)}$

$\mathsf{log_5\:1225 = 2 + 2,42}$

$\boxed{\boxed{\mathsf{log_5\:1225 = 4,42}}}$