Question

Sendo log a b= 2 e log a c= 3, calcule (a³. √b/ c).

Answer 1

Resposta:

5/2

Explicação passo a passo:

$log_ab=2~~e~~log_ac=3\\\\Calcular:\\\\log_a(a^3.\sqrt{\frac{b}{c} } )=log_aa^3+log_a\sqrt{\frac{b}{c} } =3.log_aa+log_a(\frac{b}{c} )^{\frac{1}{2} } =3.1+\frac{1}{2} (log_ab-log_ac)=3 +\frac{1}{2}(2-3)=3 +1-\frac{3}{2} =4-\frac{3}{2}=\frac{5}{2}$