lg(4x-2) = 5lg2 - 3

lg(4x-2) = lg(2^5) - 3

lg(4x-2) = lg(32) - 3

4x - 2 = 32 - 3

4x - 2 = 29

4x = 31

x = 31/4

Ответ: x = 31/4.