To simplify the expression, we will use the properties of logarithms:

Logarithmic property: log(a) - log(b) = log(a / b)

Given: log3(1-2x) - log(1/x-2)

= log3((1-2x) / (1/x-2))
= log3((1-2x) * (x - 2))
= log3(1 - 3x + 2x - 4)
= log3(-2x - 3)

Logarithmic property: log(a) + log(b) = log(a * b)

Given: log3(4x^2 + 6x - 1)

= log3((4x^2 + 6x - 1))