Question

Se log de 225 na base 8=a,então log de 15 na base 2 vale?

Answer 1

$log_8225=\frac{log_2225}{log_28}=\frac{log_215^2}{3}=\frac{2log_2{15}}{3}=a\Rightarrow2log_215=3a\\ \\ \Rightarrow log_215=\frac{3a}{2}$