Решите уравнение log2(x)+logx(2)=2,5
Loga (b) = 1 / logb (a) --------------------------------- log2(x) +1/log2 (x) =2,5 (x>0) y = log2 (x) y+1/y =2,5 y² -2,5y +1=0 D=6,25 - 4 =2,25 √D=1,5 y1=(2,5+1,5)/2=2 y2=(2,5-1,5)/2=1/2 log2 x=2 x1=4 log2 x =1/2 x2=√2