Question

Numărul natural pentru care are loc egalitatea.....
(7 supra 2) totul la x × (3 supra 7) totul la x = ( 3 supra 2) totul la 2 este....
Dau coroana plus 34 de puncte va roggg îmi trebuie in 12 min va rogggg

Answer 1

   
[tex]\displaystyle\\ \left(\frac{7}{2}\right)^{\b x} \times \left(\frac{3}{7}\right)^{\b x}=\left(\frac{3}{2}\right)^{\b 2}\\\\ \left(\frac{7}{2} \times \frac{3}{7}\right)^{\b x}=\left(\frac{3}{2}\right)^{\b 2}\\\\ \left(\frac{7\times 3}{2 \times 7}\right)^{\b x}=\left(\frac{3}{2}\right)^{\b 2} ~~~\text{(Simplificam pe 7 cu 7.)}\\\\ \left(\frac{3}{2}\right)^{\b x} =\left(\frac{3}{2}\right)^{\b 2} \\\\ \Longrightarrow~~\boxed{\bf x=2}[/tex]