ln(x-3)-ln(x+4)=ln(x-2)-ln(x+7)

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Solution for ln(x-3)-ln(x+4)=ln(x-2)-ln(x+7) equation: 


Simplifying
ln(x + -3) + -1ln(x + 4) = ln(x + -2) + -1ln(x + 7)

Reorder the terms:
ln(-3 + x) + -1ln(x + 4) = ln(x + -2) + -1ln(x + 7)
(-3 * ln + x * ln) + -1ln(x + 4) = ln(x + -2) + -1ln(x + 7)
(-3ln + lnx) + -1ln(x + 4) = ln(x + -2) + -1ln(x + 7)

Reorder the terms:
-3ln + lnx + -1ln(4 + x) = ln(x + -2) + -1ln(x + 7)
-3ln + lnx + (4 * -1ln + x * -1ln) = ln(x + -2) + -1ln(x + 7)
-3ln + lnx + (-4ln + -1lnx) = ln(x + -2) + -1ln(x + 7)

Reorder the terms:
-3ln + -4ln + lnx + -1lnx = ln(x + -2) + -1ln(x + 7)

Combine like terms: -3ln + -4ln = -7ln
-7ln + lnx + -1lnx = ln(x + -2) + -1ln(x + 7)

Combine like terms: lnx + -1lnx = 0
-7ln + 0 = ln(x + -2) + -1ln(x + 7)
-7ln = ln(x + -2) + -1ln(x + 7)

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

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

Reorder the terms:
-7ln = -2ln + -7ln + lnx + -1lnx

Combine like terms: -2ln + -7ln = -9ln
-7ln = -9ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-7ln = -9ln + 0
-7ln = -9ln

Solving
-7ln = -9ln

Solving for variable 'l'.

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

Add '9ln' to each side of the equation.
-7ln + 9ln = -9ln + 9ln

Combine like terms: -7ln + 9ln = 2ln
2ln = -9ln + 9ln

Combine like terms: -9ln + 9ln = 0
2ln = 0

Divide each side by '2'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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