Question

Determine os valores de x para a condição de existência de:

a) log5 (x + 6)
b) log(x + 3) 25​

Answer 1

$\large\boxed{\begin{array}{l}\underline{\rm D~\!\!efinic_{\!\!,}\tilde ao~de~logaritmo}\\\sf \ell og_ab=x\Longleftrightarrow a^x=b\begin{cases}\sf b>0\\\sf a>0\\\sf a\ne1\end{cases}\end{array}}$

$\boxed{\begin{array}{l}\tt a)~\sf \ell og_5(x+6)\\\sf C\cdot E:\\\sf x+6>0\\\sf x>-6\\\tt b)~\sf \ell og_{(x+3)}25\\\sf C\cdot E:\\\sf x+3\ne1\\\sf x\ne1-3\\\sf x\ne-2\\\sf x+3>0\\\sf x>-3\end{array}}$