Question

решить неравенство log1/6(8-4/5x)>-2

Answer 1

одз:8 - 4/5 *х >0;
- 4/5 *x > -8;          *(-5/4);
x < 10.
log1/6_(8 - 4/5 *x ) > log1/6(1/6)^-2;
log1/6_( 8 - 4/5  *x) > log1/6_(6^2);
1/6 <1; ⇒ 8 - 4/5 *x < 36;
- 4/5 *x < 28;     /:(-5/4) <0;
x > - 35;   X∈(- 35; 10)