Question

Log5(x+2)+ log5(x−2) = log5(12)
Ayúdenme por favor como se resuelve

Answer 1

${\log_5(x+2)+\log_5(x-2)=\log_5(12)}\\\\{\log_5[(x+2)(x-2)]=\log_5(12)}\\\\{\log_5(x^2-4)=\log_5(12)}\\\\{x^2-4=12}\\\\{x^2=12+4}\\\\{x^2=16}\\\\{x=\sqrt{16}}\\\\{\boxed{x=4}}\\\\{\mathbf{salu2.!!\ :)}}\\{\mathbf{Wellington}}$