Ответ:

1/10;1000

Объяснение:

log(10, x^(log(10, x))=log(10, 1000x^2)

log(10, x)*log(10, x)=log(10, 1000)+log(10, x^2)

log^2(10, x)=3+2log(10, x)

log^2(10, x)-2log(10, x) -3 =0

y=log(10, x)

y^2-2y-3=0

(y+1)(y-3)=0

y+1=0 or y-3=0

y=-1 or y=3

log(10, x)=-1 or log(10, x)=3

1.lnx=-ln10

lnx=ln(1/10)

x=1/10

2.lnx=3ln10

lnx=ln1000

x=1000