[tex]log_{2}(x^2-10)=3
[/tex]
x ∈ (-∞,-√10)∪(√10, +∞ )
[tex] x^{2} -10=2^3
[/tex]
[tex]x^2-10=8[/tex]
[tex]x^2=8+10
x^2=18[/tex]
[tex]x=+-3 \sqrt{2} [/tex]
[tex]x=3 \sqrt{2}
x=-3 \sqrt{2} [/tex]
x ∈ (-∞,-√10)∪(√10, +∞ )
[tex] x_{1} =3 \sqrt{2}
x_{2} =-3 \sqrt{2} [/tex]
