Log√2 (6-x ^(2)) > 2 - Все ответы

ОДЗ : 6 - x² > 0
x² - 6 < 0
(x - √6)(x + √6) < 0
x ∈ (- √6 ; √6)

$log _{ \sqrt{2} }(6- x^{2} )\ \textgreater \ 2\\\\6- x^{2} \ \textgreater \ ( \sqrt{2}) ^{2} \\\\ 6- x^{2} \ \textgreater \ 2\\\\4- x^{2}\ \textgreater \ 0\\\\ x^{2} -4\ \textless \ 0$
$(x-2)(x+2)\ \textless \ 0$
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-2 2
x ∈ (- 2 ; 2)