Question

resolva : log 2a / a²-b² (na base 2)

Answer 1

$\log_{2} \dfrac{2a}{ a^{2} - b^{2}} =$

$\log_{2} 2a -\log_{2} (a^{2} - b^{2}) =$

$\log_{2} 2+\log_{2} a -\log_{2} (a+ b).(a-b) =$

$1+\log_{2} a -[\log_{2} (a+ b)+\log_{2}(a-b)] =$

$1+\log_{2} a -\log_{2} (a+ b)-\log_{2}(a-b)$