ln(-x-3)-ln(-x+3)=ln(3)

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


Simplifying
ln(-1x + -3) + -1ln(-1x + 3) = ln(3)

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

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

Reorder the terms:
-3ln + -3ln + -1lnx + 1lnx = ln(3)

Combine like terms: -3ln + -3ln = -6ln
-6ln + -1lnx + 1lnx = ln(3)

Combine like terms: -1lnx + 1lnx = 0
-6ln + 0 = ln(3)
-6ln = ln(3)

Reorder the terms for easier multiplication:
-6ln = 3ln

Solving
-6ln = 3ln

Solving for variable 'l'.

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

Add '-3ln' to each side of the equation.
-6ln + -3ln = 3ln + -3ln

Combine like terms: -6ln + -3ln = -9ln
-9ln = 3ln + -3ln

Combine like terms: 3ln + -3ln = 0
-9ln = 0

Divide each side by '-9'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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