Question

Решите уравнение
lg^2x+lgx^2=-1

Answer 1

lg²x+lgx²=-1
lg²x+2*lgx+1=0
lgx=v  ⇒
v²+2v+1=0
(v+1)²=0
v+1=0
v=-1  ⇒
lgx=-1
x=10⁻¹=1/10=0,1.