Question

determine x na equação 5 elevado a 2 × =
$\sqrt{125}$

Answer 1

Vamos lá :

$5^{2x} = \sqrt{125} \\ \\\\  5^{2x} = 125^{(\dfrac{1}{2})}\\ \\ \\ 5^{2x} = 5^{3(\dfrac{1}{2})}\\ \\ \\ 5^{2x} = 5^{(\dfrac{3}{2})}\\ \\ \\ 2x = \dfrac{3}{2}\\ \\ \\ x = \dfrac{\frac{3}{2}}{2}\\ \\ \\ x = \dfrac{3}{2}*\dfrac{1}{2} = \dfrac{3}{4}$

Espero ter ajudado !!!!!

Answer 2

Resposta:

5^(2x)=√125

5^(2x)= 5^(3/2)

2x=3/2

x=3/4