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Greatest Integer Function

Solve the fol...

Question

Solve the following inequalities.
$| l o g_{3} x | < 2.$

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Solution

$| {log}_{3} x | < 2$

$⟹ - 2 < {log}_{3} x < 2$

$⟹ 3^{- 2} < x < 3^{2}$

$⟹ x \in (\frac{1}{9}, 9)$

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