Question

solução da equação abaixo:​

Answer 1

$\Large\boxed{\begin{array}{l}\sf\ell og_2(x-3)+\ell og_2x=2\\\sf C\cdot E:x>3\\\sf \ell og_2x\cdot(x-3)=2\\\sf x\cdot(x-3)=2^2\\\sf x\cdot(x-3)=4\\\sf x^2-3x-4=0\\\sf\\\sf x^2+(1-4)x+\cdot(1)\cdot(-4)=0\\\sf (x+1)(x-4)=0\\\sf x-4=0\implies x=4\\\sf x+1=0\implies x=-1\\\sf como~x>3,a~soluc_{\!\!,}\tilde ao~\acute e\\\sf S=\{4\}\end{array}}$