log 2 (x) = t
2/t + 5/(2t - 3t) = t/t - 3
2/t - 5/t = t/t-3
-3/t = t/t-3
3/t = t/3-t
t^2 = 9 - 3t
t^2 + 3t - 9 = 0
D = 9 + 36 = 45
t = -3 + 3sqrt(5)/2
t = -3 - 3sqrt(5)/2
log 2 (x) = -3 + 3sqrt(5)/2
log 2 (x) = -3 - 3sqrt(5)/2
x = 2^(-3 + 3sqrt(5)/2)
x = 2^(-3 - 3sqrt(5)/2)
Ответ : 2^(-3 + 3sqrt(5)/2) ; 2^(-3 - 3sqrt(5)/2)