Question

Решите неравенство

$log _{x} frac{15x+17}{2(5-4x)}<-1$

Answer 1

x>1 (15x+17)/2(5-4x)-1/x<0
(15x^2+17x-10+8x)/2x(5-4x)<0
(3x^2+5x-2)/x(5-4x)<0
(1;1/3) U (5/4;беск.)
0<х<1
(15x+17)/2(5-4x)-1/x>0
(x+2)(3x-1)/x(5-4x)>0
(1;1/3) U (5/4;беск.)