log _9 (x+(7/2)).log _(3/4) (x^2 ) ≥ log


Question and Answers Forum

All Questions Topic List
Permutation and Combination Questions
Previous in All Question Next in All Question
Previous in Permutation and Combination Next in Permutation and Combination
Question Number 92319 by jagoll last updated on 06/May/20

$\log_{9} (x + \frac{7}{2}) . \log_{3 / 4} (x^{2}) ⩾$ $\log_{3 / 4} (x + \frac{7}{2})$
Commented by john santu last updated on 06/May/20
${ ((x+(7/2) > 0 ⇒ x > −(7/2))),((x^2 > 0 ⇒ x ≠ 0)) :} (1/2)log _3 (x+(7/2)).((log _3 (x^2 ))/(log _3 ((3/4)))) ≥ ((log _3 (x+(7/2)))/(log _3 ((3/4)))) log _3 (x+(7/2)) ((1/2)log _3 (x^2 )−1) ≤ 0 (−(7/2),−3] ∪ [−(5/2),0 ) ∪ (0,3)$
${\begin{cases} x + \frac{7}{2} > 0 \Rightarrow x > - \frac{7}{2} \\ x^{2} > 0 \Rightarrow x \neq 0 \end{cases}$ $\frac{1}{2} \log_{3} (x + \frac{7}{2}) . \frac{\log_{3} (x^{2})}{\log_{3} (\frac{3}{4})} ⩾ \frac{\log_{3} (x + \frac{7}{2})}{\log_{3} (\frac{3}{4})}$ $\log_{3} (x + \frac{7}{2}) (\frac{1}{2} \log_{3} (x^{2}) - 1) ⩽ 0$ $(- \frac{7}{2}, - 3] \cup [- \frac{5}{2}, 0) \cup (0, 3)$
Commented by jagoll last updated on 06/May/20
Is this the cut step? why so short?
Commented by jagoll last updated on 06/May/20
��
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum