Question

calcule log256⁴⁰⁹⁶ fazendo a mudança pra base 2​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\sf log_{256}\:4096 = \left(\dfrac{log_2\:4096}{log_2\:256}\right)$

$\sf log_{256}\:4096 = \left(\dfrac{log_2\:2^{12}}{log_2\:2^8}\right)$

$\sf log_{256}\:4096 = \left(\dfrac{12}{8}\right).\left(\dfrac{log_2\:2}{log_2\:2}\right)$

$\sf log_{256}\:4096 = \dfrac{3}{2}\:.\:1$

$\boxed{\boxed{\sf log_{256}\:4096 = \dfrac{3}{2}}}$