y=(3x+1)ln(x-1)

Solution for y=(3x+1)ln(x-1) equation:

Simplifying
y = (3x + 1) * ln(x + -1)

Reorder the terms:
y = (1 + 3x) * ln(x + -1)

Reorder the terms:
y = (1 + 3x) * ln(-1 + x)

Reorder the terms for easier multiplication:
y = ln(1 + 3x)(-1 + x)

Multiply (1 + 3x) * (-1 + x)
y = ln(1(-1 + x) + 3x * (-1 + x))
y = ln((-1 * 1 + x * 1) + 3x * (-1 + x))
y = ln((-1 + 1x) + 3x * (-1 + x))
y = ln(-1 + 1x + (-1 * 3x + x * 3x))
y = ln(-1 + 1x + (-3x + 3x2))

Combine like terms: 1x + -3x = -2x
y = ln(-1 + -2x + 3x2)
y = (-1 * ln + -2x * ln + 3x2 * ln)
y = (-1ln + -2lnx + 3lnx2)

Solving
y = -1ln + -2lnx + 3lnx2

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Simplifying
y = -1ln + -2lnx + 3lnx2