ln(x)-ln(x-1)=.5

Solution for ln(x)-ln(x-1)=.5 equation:

Simplifying
ln(x) + -1ln(x + -1) = 0.5

Multiply ln * x
lnx + -1ln(x + -1) = 0.5

Reorder the terms:
lnx + -1ln(-1 + x) = 0.5
lnx + (-1 * -1ln + x * -1ln) = 0.5
lnx + (1ln + -1lnx) = 0.5

Reorder the terms:
1ln + lnx + -1lnx = 0.5

Combine like terms: lnx + -1lnx = 0
1ln + 0 = 0.5
1ln = 0.5

Solving
1ln = 0.5

Solving for variable 'l'.

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

Divide each side by '1n'.
l = 0.5n-1

Simplifying
l = 0.5n-1