log-3-x-2-2-lt-log-3-3-2-x-1-

Question Number 167243 by greogoury55 last updated on 10/Mar/22

\log_{3} (x^{2} - 2) < \log_{3} (\frac{3}{2} ∣ x ∣ - 1)

Answered by MJS_new last updated on 10/Mar/22

lhs = rhs \Rightarrow x = \pm 2; lhs defined for ∣ x ∣> \sqrt{2}

\Rightarrow

- 2 < x < - \sqrt{2} \lor \sqrt{2} < x < 2 same as \sqrt{2} <∣ x ∣< 2

Commented by greogoury55 last updated on 12/Mar/22

y e s . t h a n k y o u