Question

Помогите решить уравнение

Answer 1

$lg ^{2} x + lg : x ^{2} = lg ^{2} 2 - 1 \ lg ^{2} x +2 lg : x + 1 = lg ^{2} 2 \ (lgx + 1) ^{2} = lg ^{2} 2 \ {lg}^{2} (10x) - lg ^{2} 2 = 0 \ ({lg} (10x) - lg 2)({lg} (10x) + lg 2) = 0 \ lg10x = lg2 \ x1 = frac{1}{5} \ 10x = frac{1}{2} \ x2 = frac{1}{20}$