Login

how to solve:

log₂ [ x-5 /2x-3 }² <0

$\log_{2} {(\frac{x - 5}{2 x - 3})}^{2} < 0 {(\frac{x - 5}{2 x - 3})}^{2} < 2^{0} {(\frac{x - 5}{2 x - 3})}^{2} < 1 \frac{x^{2} + 25 - 10 x}{4 x^{2} + 9 - 12 x} < 1 x^{2} + 25 - 10 x < 4 x^{2} - 12 x + 9 - 3 x^{2} + 2 x + 16 < 0 3 x^{2} - 2 x - 16 < 0 3 x^{2} - 8 x + 6 x - 16 < 0 x (3 x - 8) + 2 (3 x - 8) < 0 (x + 2) (3 x - 8) < 0 E i t h e r x + 2 < 0 o r 3 x - 8 < 0 x < - 2 o r x > \frac{8}{3}$

-1

View Full Answer

Copyright © 2024 Aakash EduTech Pvt. Ltd. All rights reserved.

Aakash EduTech Pvt. Ltd.

What are you looking for?