Ln(x-2)=2-ln(x-4)

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Solution for Ln(x-2)=2-ln(x-4) equation:


Simplifying
Ln(x + -2) = 2 + -1ln(x + -4)

Reorder the terms:
nL(-2 + x) = 2 + -1ln(x + -4)
(-2 * nL + x * nL) = 2 + -1ln(x + -4)
(-2nL + nxL) = 2 + -1ln(x + -4)

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

Solving
-2nL + nxL = 2 + 4ln + -1lnx

Solving for variable 'n'.

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

Add '-4ln' to each side of the equation.
-2nL + -4ln + nxL = 2 + 4ln + -4ln + -1lnx

Reorder the terms:
-4ln + -2nL + nxL = 2 + 4ln + -4ln + -1lnx

Combine like terms: 4ln + -4ln = 0
-4ln + -2nL + nxL = 2 + 0 + -1lnx
-4ln + -2nL + nxL = 2 + -1lnx

Add 'lnx' to each side of the equation.
-4ln + -2nL + lnx + nxL = 2 + -1lnx + lnx

Reorder the terms:
-4ln + lnx + -2nL + nxL = 2 + -1lnx + lnx

Combine like terms: -1lnx + lnx = 0
-4ln + lnx + -2nL + nxL = 2 + 0
-4ln + lnx + -2nL + nxL = 2

Reorder the terms:
-2 + -4ln + lnx + -2nL + nxL = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -4ln + lnx + -2nL + nxL = 0

The solution to this equation could not be determined.

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