Question

DAU CORONITA
3^x estr divizibil cu 2^x, x=?

Answer 1

$3^x\vdots2^x\Rightarrow\frac{3^x}{2^x}\in\mathbb{Z} \\ \\ \frac{3^x}{2^x}=\Big(\frac{3}{2}\Big)\Up^x=(1,5)^x \\ \\ (1,5)^x\in\mathbb{Z}\Rightarrow x=0;~(1,5)^x=1 \\ \\ x=0$