Question

Log(x+raiz cuadrada6)+log(x-raiz cuadrada 6)=1

Answer 1

$log(x+ \sqrt{6} )+log(x- \sqrt{6} )=1}\\\\{log[(x+ \sqrt{6} )(x- \sqrt{6} )]=log(10)}\\\\{\text{eliminamos los log}}\\\\{(x+ \sqrt{6} )(x- \sqrt{6} )=10}\\\\{x^2-( \sqrt{6})^2=10}\\\\{x^2-6=10}\\\\{x^2=10+6}\\\\{x^2=16}\\\\{x= \sqrt{16} }\\\\{x=4}\\\\{\text{salu2.!! :)}}$