Question

Sistema logaritmico , calcula {x-y=9 e log× + log y = 1

Answer 1

Boa noite Giovanna

x - y = 9
log(x) + log(y) = 1 = log(10)

x - y = 9
xy = 10

x = y + 9
y*(y + 9) = 10

y² + 9y - 10 = 0

delta
d² = 81 + 40 = 121
d = 11

y = (-9 + 11)/2 = 2/2 = 1
x = y + 9 = 1 + 9 = 10