Question

Podem me ajudar a resolver?
(3/2)^2x = (2/3)^5/2

Answer 1

Resposta:

Explicação passo-a-passo:

Observe que:

$\displaystyle \frac{2}{3} =(\frac{3}{2})^{-1}$

Após entender isso podemos resolver facilmente:

$\displaystyle (\frac{3}{2})^{2x} =(\frac{2}{3} )^{\frac{5}{2}} \\\\\\(\frac{3}{2})^{2x} =(\frac{3}{2} )^{-\frac{5}{2}}\\\\\\2x=-\frac{5}{2} \\\\\\x=-\frac{5}{4}$