lny-ln(y-1)=x+c

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

Simplifying
lny + -1ln(y + -1) = x + c

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

Reorder the terms:
1ln + lny + -1lny = x + c

Combine like terms: lny + -1lny = 0
1ln + 0 = x + c
1ln = x + c

Reorder the terms:
1ln = c + x

Solving
1ln = c + x

Solving for variable 'l'.

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

Divide each side by '1n'.
l = cn-1 + n-1x

Simplifying
l = cn-1 + n-1x