ln(x-2)-ln(x+7)=ln(x-1)-ln(x+13)

Solution for ln(x-2)-ln(x+7)=ln(x-1)-ln(x+13) equation:

Simplifying
ln(x + -2) + -1ln(x + 7) = ln(x + -1) + -1ln(x + 13)

Reorder the terms:
ln(-2 + x) + -1ln(x + 7) = ln(x + -1) + -1ln(x + 13)
(-2 * ln + x * ln) + -1ln(x + 7) = ln(x + -1) + -1ln(x + 13)
(-2ln + lnx) + -1ln(x + 7) = ln(x + -1) + -1ln(x + 13)

Reorder the terms:
-2ln + lnx + -1ln(7 + x) = ln(x + -1) + -1ln(x + 13)
-2ln + lnx + (7 * -1ln + x * -1ln) = ln(x + -1) + -1ln(x + 13)
-2ln + lnx + (-7ln + -1lnx) = ln(x + -1) + -1ln(x + 13)

Reorder the terms:
-2ln + -7ln + lnx + -1lnx = ln(x + -1) + -1ln(x + 13)

Combine like terms: -2ln + -7ln = -9ln
-9ln + lnx + -1lnx = ln(x + -1) + -1ln(x + 13)

Combine like terms: lnx + -1lnx = 0
-9ln + 0 = ln(x + -1) + -1ln(x + 13)
-9ln = ln(x + -1) + -1ln(x + 13)

Reorder the terms:
-9ln = ln(-1 + x) + -1ln(x + 13)
-9ln = (-1 * ln + x * ln) + -1ln(x + 13)
-9ln = (-1ln + lnx) + -1ln(x + 13)

Reorder the terms:
-9ln = -1ln + lnx + -1ln(13 + x)
-9ln = -1ln + lnx + (13 * -1ln + x * -1ln)
-9ln = -1ln + lnx + (-13ln + -1lnx)

Reorder the terms:
-9ln = -1ln + -13ln + lnx + -1lnx

Combine like terms: -1ln + -13ln = -14ln
-9ln = -14ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-9ln = -14ln + 0
-9ln = -14ln

Solving
-9ln = -14ln

Solving for variable 'l'.

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

Add '14ln' to each side of the equation.
-9ln + 14ln = -14ln + 14ln

Combine like terms: -9ln + 14ln = 5ln
5ln = -14ln + 14ln

Combine like terms: -14ln + 14ln = 0
5ln = 0

Divide each side by '5'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.