ln(x-2)-ln(x+12)=ln(x-1)-ln(x+16)

Solution for ln(x-2)-ln(x+12)=ln(x-1)-ln(x+16) equation:

Simplifying
ln(x + -2) + -1ln(x + 12) = ln(x + -1) + -1ln(x + 16)

Reorder the terms:
ln(-2 + x) + -1ln(x + 12) = ln(x + -1) + -1ln(x + 16)
(-2 * ln + x * ln) + -1ln(x + 12) = ln(x + -1) + -1ln(x + 16)
(-2ln + lnx) + -1ln(x + 12) = ln(x + -1) + -1ln(x + 16)

Reorder the terms:
-2ln + lnx + -1ln(12 + x) = ln(x + -1) + -1ln(x + 16)
-2ln + lnx + (12 * -1ln + x * -1ln) = ln(x + -1) + -1ln(x + 16)
-2ln + lnx + (-12ln + -1lnx) = ln(x + -1) + -1ln(x + 16)

Reorder the terms:
-2ln + -12ln + lnx + -1lnx = ln(x + -1) + -1ln(x + 16)

Combine like terms: -2ln + -12ln = -14ln
-14ln + lnx + -1lnx = ln(x + -1) + -1ln(x + 16)

Combine like terms: lnx + -1lnx = 0
-14ln + 0 = ln(x + -1) + -1ln(x + 16)
-14ln = ln(x + -1) + -1ln(x + 16)

Reorder the terms:
-14ln = ln(-1 + x) + -1ln(x + 16)
-14ln = (-1 * ln + x * ln) + -1ln(x + 16)
-14ln = (-1ln + lnx) + -1ln(x + 16)

Reorder the terms:
-14ln = -1ln + lnx + -1ln(16 + x)
-14ln = -1ln + lnx + (16 * -1ln + x * -1ln)
-14ln = -1ln + lnx + (-16ln + -1lnx)

Reorder the terms:
-14ln = -1ln + -16ln + lnx + -1lnx

Combine like terms: -1ln + -16ln = -17ln
-14ln = -17ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-14ln = -17ln + 0
-14ln = -17ln

Solving
-14ln = -17ln

Solving for variable 'l'.

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

Add '17ln' to each side of the equation.
-14ln + 17ln = -17ln + 17ln

Combine like terms: -14ln + 17ln = 3ln
3ln = -17ln + 17ln

Combine like terms: -17ln + 17ln = 0
3ln = 0

Divide each side by '3'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.