Question

Sabendo que log a = 6 e log b = 3, o valor da expressão log ( a/b) é:

Answer 1

$\Large\boxed{\begin{array}{l}\underline{\rm Logaritmo\,do\,quociente}\\\sf \ell og_c\bigg(\dfrac{a}{b}\bigg)=\ell og_ca-\ell og_cb\\\tt dados\begin{cases}\sf\ell oga=6\\\sf \ell og b=3\\\sf \ell og\bigg(\dfrac{a}{b}\bigg)=?\end{cases}\\\underline{\boldsymbol{soluc_{\!\!,}\tilde ao\!:}}\\\\\sf \ell og\bigg(\dfrac{a}{b}\bigg)=\ell og(a)-\ell og(b)\\\\\sf \ell og\bigg(\dfrac{a}{b}\bigg)=6-3\\\\\sf \ell og\bigg(\dfrac{a}{b}\bigg)=3\end{array}}$