решите логарифмическое неравенство. Created by Anastasiya5620. algebra-ru

решите логарифмическое неравенство...

21sadtylers Log2 (x^2 + 10) < 4
log2 (x^2 + 10) < log2 (16)
x^2 + 10 < 16
x^2 + 10 - 16 < 0
x^2 - 6 < 0
(x - √6)(x + √6) < 0

+ - +
---------- ( - √6) ------------(√6)--------------> x

x ∈ ( - √6; √6)

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ShirokovP

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Область определения неравенства – бесконечность, поэтому она не повлияет на решение

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