ln(x-2)=-ln(x+2)

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


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

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

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

Add '2ln' to each side of the equation.
-2ln + 2ln + lnx = -2ln + 2ln + -1lnx

Combine like terms: -2ln + 2ln = 0
0 + lnx = -2ln + 2ln + -1lnx
lnx = -2ln + 2ln + -1lnx

Combine like terms: -2ln + 2ln = 0
lnx = 0 + -1lnx
lnx = -1lnx

Solving
lnx = -1lnx

Solving for variable 'l'.

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

Add 'lnx' to each side of the equation.
lnx + lnx = -1lnx + lnx

Combine like terms: lnx + lnx = 2lnx
2lnx = -1lnx + lnx

Combine like terms: -1lnx + lnx = 0
2lnx = 0

Divide each side by '2'.
lnx = 0

Simplifying
lnx = 0

The solution to this equation could not be determined.

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