Question

resolva o sistema:
log x + log y = 1
log x2 + log y3 = 3

Answer 1

Resposta:

log x + log y = 1    (i)

log x² + log y³ = 3 ==> 2 log x + 3 log y =3  (ii)

3(i) - (ii)

log x  = 0  ==> x=10⁰  ==>x=1

log 1 + log y =1  ==>log y=1 ==>y=10¹  ==>y=10