ln(x+9)-ln(x-5)=ln(x+7)-ln(x-4)

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Solution for ln(x+9)-ln(x-5)=ln(x+7)-ln(x-4) equation: 


Simplifying
ln(x + 9) + -1ln(x + -5) = ln(x + 7) + -1ln(x + -4)

Reorder the terms:
ln(9 + x) + -1ln(x + -5) = ln(x + 7) + -1ln(x + -4)
(9 * ln + x * ln) + -1ln(x + -5) = ln(x + 7) + -1ln(x + -4)
(9ln + lnx) + -1ln(x + -5) = ln(x + 7) + -1ln(x + -4)

Reorder the terms:
9ln + lnx + -1ln(-5 + x) = ln(x + 7) + -1ln(x + -4)
9ln + lnx + (-5 * -1ln + x * -1ln) = ln(x + 7) + -1ln(x + -4)
9ln + lnx + (5ln + -1lnx) = ln(x + 7) + -1ln(x + -4)

Reorder the terms:
9ln + 5ln + lnx + -1lnx = ln(x + 7) + -1ln(x + -4)

Combine like terms: 9ln + 5ln = 14ln
14ln + lnx + -1lnx = ln(x + 7) + -1ln(x + -4)

Combine like terms: lnx + -1lnx = 0
14ln + 0 = ln(x + 7) + -1ln(x + -4)
14ln = ln(x + 7) + -1ln(x + -4)

Reorder the terms:
14ln = ln(7 + x) + -1ln(x + -4)
14ln = (7 * ln + x * ln) + -1ln(x + -4)
14ln = (7ln + lnx) + -1ln(x + -4)

Reorder the terms:
14ln = 7ln + lnx + -1ln(-4 + x)
14ln = 7ln + lnx + (-4 * -1ln + x * -1ln)
14ln = 7ln + lnx + (4ln + -1lnx)

Reorder the terms:
14ln = 7ln + 4ln + lnx + -1lnx

Combine like terms: 7ln + 4ln = 11ln
14ln = 11ln + lnx + -1lnx

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

Solving
14ln = 11ln

Solving for variable 'l'.

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

Add '-11ln' to each side of the equation.
14ln + -11ln = 11ln + -11ln

Combine like terms: 14ln + -11ln = 3ln
3ln = 11ln + -11ln

Combine like terms: 11ln + -11ln = 0
3ln = 0

Divide each side by '3'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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