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
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