ln(x)-ln(x-1)-1=0

Solution for ln(x)-ln(x-1)-1=0 equation:

Simplifying
ln(x) + -1ln(x + -1) + -1 = 0

Multiply ln * x
lnx + -1ln(x + -1) + -1 = 0

Reorder the terms:
lnx + -1ln(-1 + x) + -1 = 0
lnx + (-1 * -1ln + x * -1ln) + -1 = 0
lnx + (1ln + -1lnx) + -1 = 0

Reorder the terms:
-1 + 1ln + lnx + -1lnx = 0

Combine like terms: lnx + -1lnx = 0
-1 + 1ln + 0 = 0
-1 + 1ln = 0

Solving
-1 + 1ln = 0

Solving for variable 'l'.

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

Add '1' to each side of the equation.
-1 + 1 + 1ln = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 1ln = 0 + 1
1ln = 0 + 1

Combine like terms: 0 + 1 = 1
1ln = 1

Divide each side by '1n'.
l = n-1

Simplifying
l = n-1