Question

Решить логарифмическое уравнение

Answer 1

$(log2(x))^{2} -2log2(x)-3=0 | log2(x)= t \ t^{2} - 2t -3 =0 \ D=4+4*3=4^{2} \ x1= frac{2+ sqrt{D} }{2} = 3 \ x2= frac{2- sqrt{D} }{2} = -1 \ log2(x)=3 \ x=8 \ log2(x) = -1 \ x= frac{1}{2}$