Question

Determine o valor de x para a equação logarítmica log 3 (x 2 - 10x + 34) = 2

(A) 5 e 7
(B) 5 e 5
(C) 3 e 9
(D) -5 e -5
(E) 11 e -13

Answer 1

$\Large\boxed{\begin{array}{l}\rm Determine~o~valor~de~x~para~a~equac_{\!\!,}\tilde ao\\\rm logar\acute itmica~\ell og_3(x^2-10x+34)=2\\\rm a)~5~e~7\\\rm b)~5~e~5\\\rm c)~ 3~e~9\\\rm d)-5~e-5\\\rm e)~11~e~-13\end{array}}$

$\Large\boxed{\begin{array}{l} \underline{\rm soluc_{\!\!,}\tilde ao:}\\\sf\ell og_3(x^2-10x+34)=2\\\sf x^2-10x+34=3^2\\\sf x^2-10x+34=9\\\sf x^2-10x+34-9=0\\\sf x^2-10x+25=0\\\sf (x-5)^2=0\\\sf x-5=0\\\sf x=5\\\huge\boxed{\boxed{\boxed{\boxed{\sf\maltese~alternativa~B}}}}\end{array}}$