Помогите решить уравнение.

Question

Помогите решить уравнение.

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Answer 1

Log2((x-1)^2)^2 - log0.5(x-1) = 5   =>
4log2(x-1)^2 + log2(x-1) = 5
t = log2(x-1)
4t^2 + t - 5 = 0
D = 1 + 80 = 81
t1 = 1
t2 = -10/8
log2(x-1) = 1  => x = 2^1 + 1 = 3
log2(x-1) = -10/8 => x = 2^(-10/8) + 1