Question

sa se rezolve ecuatiile:
a)$log_{ \sqrt{6} }$(x²-5)=2
b)log₂(x²-3x+10)=3
c)$log_{ \frac{1}{2} }$(x²+1)=2

Answer 1

a)DVA: x∈(-∞;√5]∪[√5;∞)
             x²-5=6⇔x²=11⇔x=-√11; x=√11

b)x²-3x+10=8⇔x²-3x+2=0⇔x=1; x=2

c)x²+1=1/4⇔x²=-3/4
   x∈∅