ln(x-2)-ln(x+9)=ln(x-1)-ln(x+14)

Solution for ln(x-2)-ln(x+9)=ln(x-1)-ln(x+14) equation:

Simplifying
ln(x + -2) + -1ln(x + 9) = ln(x + -1) + -1ln(x + 14)

Reorder the terms:
ln(-2 + x) + -1ln(x + 9) = ln(x + -1) + -1ln(x + 14)
(-2 * ln + x * ln) + -1ln(x + 9) = ln(x + -1) + -1ln(x + 14)
(-2ln + lnx) + -1ln(x + 9) = ln(x + -1) + -1ln(x + 14)

Reorder the terms:
-2ln + lnx + -1ln(9 + x) = ln(x + -1) + -1ln(x + 14)
-2ln + lnx + (9 * -1ln + x * -1ln) = ln(x + -1) + -1ln(x + 14)
-2ln + lnx + (-9ln + -1lnx) = ln(x + -1) + -1ln(x + 14)

Reorder the terms:
-2ln + -9ln + lnx + -1lnx = ln(x + -1) + -1ln(x + 14)

Combine like terms: -2ln + -9ln = -11ln
-11ln + lnx + -1lnx = ln(x + -1) + -1ln(x + 14)

Combine like terms: lnx + -1lnx = 0
-11ln + 0 = ln(x + -1) + -1ln(x + 14)
-11ln = ln(x + -1) + -1ln(x + 14)

Reorder the terms:
-11ln = ln(-1 + x) + -1ln(x + 14)
-11ln = (-1 * ln + x * ln) + -1ln(x + 14)
-11ln = (-1ln + lnx) + -1ln(x + 14)

Reorder the terms:
-11ln = -1ln + lnx + -1ln(14 + x)
-11ln = -1ln + lnx + (14 * -1ln + x * -1ln)
-11ln = -1ln + lnx + (-14ln + -1lnx)

Reorder the terms:
-11ln = -1ln + -14ln + lnx + -1lnx

Combine like terms: -1ln + -14ln = -15ln
-11ln = -15ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-11ln = -15ln + 0
-11ln = -15ln

Solving
-11ln = -15ln

Solving for variable 'l'.

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

Add '15ln' to each side of the equation.
-11ln + 15ln = -15ln + 15ln

Combine like terms: -11ln + 15ln = 4ln
4ln = -15ln + 15ln

Combine like terms: -15ln + 15ln = 0
4ln = 0

Divide each side by '4'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.