Решите уравнения 3ctg(2x-пи/4)-3=0 5^3х-1 =25^x-3

Пошаговое объяснение:

1) 3ctg(2x-π/4)-3=0

3ctg(2x-π/4) = 3

ctg(2x-π/4) = 1

2х -π/4 = arcCtg1 + πk , k ∈Z

2x -π/4 = π/4 + πk , k ∈ Z

2x = π/2 + πk , k ∈ Z

x = π/4 + πk/2, k ∈Z

2) 5^(3х-1) =25^(x-3)

5^(3х-1) =5^2(x-3)

3x -1 = 2(x -3)

3x -1 = 2x -6

3x - 2x = -6+1

x = -5