(14¹⁵)/(2¹³*7¹⁴)=(2¹⁵*7¹⁵)/(2¹³*7¹⁴)=2² *7=4*7=28
·······························
1/2sinx+sqrt(3)/2cosx=1/2
cos(x-П/6)=1/2
x-п/6=+-П/3+2Пk
x1=П/6+П/3+2Пk=П/2+2Пk (-3П/2;П/2;5П/2;)
x2=П/6-П/3+2пk=-П/6+2Пk (-П/6;11П/6; 23П/6)
ОДЗ
3-2x>0
2x<3
x<1,5
x∈(-∞;1,5)
log(5)(3-2x=t
1/t+1/(4+t)<0
(4+t+t)/t(4+t)<0
2(t+2)/t(t+4)<0
t=-2 t=0 t=-4
_ + _ +
--------(-4)------------(-2)-----------(0)-----------(1,5)---------
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x∈(-∞;-4) U (-2;0)