Question

Найти произведение корней уравнения

Answer 1

$2( log_{2}(x) )^{2} - 4 log_{2}(x) = 0 \\2 log_{2}(x)(log_{2}(x) - 2) = 0 \\ log_{2}(x) = 0 = > x_1 = 1 \\ log_{2}(x) = 2 = > x _2 = 4 \\ x_1 \times x _2 = 1 \times 4 = 4$