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

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


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

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

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

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

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

Solving
1ln = 1

Solving for variable 'l'.

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

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

Simplifying
l = n-1

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