Question

log2(x+3)+log2(x-4)=3 respuesta

Answer 1

$Hola \\ \\ log_2(x+3)+log_2(x-4)=3 \\ \\ \underline{Resoluci\acute{o}n~} \\ \\ log_2[(x+3)(x-4)]=3 \\ \\ log_2[x\²-x-12]=3 \\ \\ 8=x\²-x-12 \\ \\ x\²-x-20=0 \\ \\ donde: \\ x=5~~~~y~~~ x=-4=\not E \\ \\ Por~tanto~\boxed{\boxed{x=5}} \\ \\ \mathbb{iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii}\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Saludos!!$