Log(2)x-2log(x)2=-1 досконально

Log2 x - 2logx 2 = -1;

Log2 x - 2/log2 x = - 1;

Log2 x = 2/log2 x - 1;

Log2 x = (2 - log2 x)/log2 x;

Log2 ^2 x = 2 - log2 x;

Log2 ^2 x + log2 x - 2 = 0;

Пусть log2 x = t,  тогда t^2 + t - 2 = 0;

t1 = 1, t2 = - 2;

Log2 x = 1 =gt; x = 2^1, x = 2;

Log2 x = - 2;

2^-2 = x =gt; x = 1/4.

Ответ: 1/4, 2.