Question

Să se rezolve in multimea numerelor reale ecuatia 2^x/3^x =3/2

Answer 1

2ˣ / 3ˣ = 3/2 <=> (2/3)ˣ = (2/3)⁻¹ => x = -1

Answer 2

$\it \dfrac{2^x}{3^x}=\dfrac{3}{2} \Leftrightarrow \left(\dfrac{2}{3}\right)^x =\left(\dfrac{2}{3}\right)^{-1} \Leftrightarrow x=-1$