1) Неравенство: lg(3x−17) = lg(x+1)
3x - 17 = x + 1
2x = 18
x = 9

2) Неравенство: log2 (x - 1) - log2 (2x - 4) = 0
log2 ((x - 1)/(2x - 4)) = 0
(x - 1)/(2x - 4) = 1
x - 1 = 2x - 4
x = 3

3) Неравенство: lg(x² - 2x) = lg(2x + 12)
x² - 2x = 2x + 12
x² - 4x - 12 = 0
(x - 6)(x + 2) = 0
x = 6, x = -2

4) Неравенство: log2 (2x² + 7) = log2 (x² + 8)
2x² + 7 = x² + 8
x² = 1
x = 1, x = -1

5) Неравенство: log2 (x² + 3) = log2 (2x² + x + 1)
x² + 3 = 2x² + x + 1
x² - x - 2 = 0
(x - 2)(x + 1) = 0
x = 2, x = -1

6) Неравенство: lg(2x ^ 2 + 3x) = lg(6x + 2)
2x ^ 2 + 3x = 6x + 2
2x ^ 2 - 3x - 2 = 0
(x - 2)(2x + 1) = 0
x = 2, x = -0.5