Question

se log de A com base 2= 5 e log de B com base 2=8, qual será o quociente de B/A?

Answer 1

$log_{2}{a} = 5 \\ {2}^{5} = a \\ \\ log_{2}{b} = 8 \\ {2}^{8} = b \\ \\ \frac{b}{a} = \frac{ {2}^{8} }{ {2}^{5} } \\ \frac{b}{a} = {2}^{8 - 5} \\ \frac{b}{a} = {2}^{3} \\ \frac{b}{a} = 8$