Question

Log de raiz cubica de 16 na base 4



Qual o log da raiz cubica de 16 na base 4?

Answer 1

$log_4(\sqrt[3]{16}) = log_4(16^{1 \over 3}) \\\\ = {1 \over 3} log_4(16) = {1 \over 3} log_4(4^2) \\\\ = {2 \over 3} log_4(4) = \boxed{ { 2 \over 3}}$