Question

rezolvati ecuatia
$log_{2} (x^2 - 10) = 3$

Answer 1

[tex]log_{2}(x^2-10)=3 [/tex]

x ∈ (-∞,-√10)∪(√10, +∞ )

[tex] x^{2} -10=2^3 [/tex]

$x^2-10=8$

[tex]x^2=8+10 x^2=18[/tex]

$x=+-3 \sqrt{2}$

[tex]x=3 \sqrt{2} x=-3 \sqrt{2} [/tex]

x ∈ (-∞,-√10)∪(√10, +∞ )

$x_{1} =3 \sqrt{2} x_{2} =-3 \sqrt{2}$