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 =2,5y² -2,5y +1=0D=6,25 - 4 =2,25   √D=1,5y1=(2,5+1,5)/2=2     y2=(2,5-1,5)/2=1/2log2 x=2   x1=4log2 x =1/2     x2=√2