Question

5) determine os valores de X para que exista:

Answer 1

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$\tt{a)}~\sf\ell og_{x-5}10\\\sf x-5\ne1\implies x\ne1+5\\\sf x\ne6\\\sf x-5>0\implies x>5\\\sf S=\{x\in\mathbb{R}/ x>5~e~x\ne6\}$

$\sf\ell og_{2x-1}4\\\sf 2x-1\ne1\\\sf 2x\ne1+1\\\sf \diagup\!\!\!2x\ne\diagup\!\!\!2\implies x\ne1\\\sf2x-1>0\\\sf2x>1\\\sf x>\dfrac{1}{2}\\\sf s=\{x\in\mathbb{R}/x>\dfrac{1}{2}~e~x\ne1\}$