Question

Qual o valor de:

$\log_2(32\times64)=$

Answer 1

Olá ! 

Note que 32 = 2^5 e que 64 = 2^6 

2^5 . 2^6 = 2^(5+6) = 2^11 

Resolvendo : 

$log_2\ (32\ .\ 64)=x\\\\\\log_2\ (2^{5}.2^{6})=x\\\\\\log_2\ (2^{5+6})=x\\\\\\log_2\ 2^{11}=x\\\\\\2^{x}=2^{11}\\\\\boxed{x=11}\\\\\\Ent\~ao:\\\\\\\boxed{\boxed{log_2\ (32\ .\ 64)\ =\ 11}}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ok$

Answer 2

Resposta:

$\log_{2}(32 \times 64) \\ \log_{2}( {2}^{5} \times {2}^{6} ) \\ \LARGE \log_{2}( {2}^{11} ) = 11$

Espero Ter Ajudado !!