ln(x+4)-ln(x+2)=ln(x+10)-ln(x+4)

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Solution for ln(x+4)-ln(x+2)=ln(x+10)-ln(x+4) equation: 


Simplifying
ln(x + 4) + -1ln(x + 2) = ln(x + 10) + -1ln(x + 4)

Reorder the terms:
ln(4 + x) + -1ln(x + 2) = ln(x + 10) + -1ln(x + 4)
(4 * ln + x * ln) + -1ln(x + 2) = ln(x + 10) + -1ln(x + 4)
(4ln + lnx) + -1ln(x + 2) = ln(x + 10) + -1ln(x + 4)

Reorder the terms:
4ln + lnx + -1ln(2 + x) = ln(x + 10) + -1ln(x + 4)
4ln + lnx + (2 * -1ln + x * -1ln) = ln(x + 10) + -1ln(x + 4)
4ln + lnx + (-2ln + -1lnx) = ln(x + 10) + -1ln(x + 4)

Reorder the terms:
4ln + -2ln + lnx + -1lnx = ln(x + 10) + -1ln(x + 4)

Combine like terms: 4ln + -2ln = 2ln
2ln + lnx + -1lnx = ln(x + 10) + -1ln(x + 4)

Combine like terms: lnx + -1lnx = 0
2ln + 0 = ln(x + 10) + -1ln(x + 4)
2ln = ln(x + 10) + -1ln(x + 4)

Reorder the terms:
2ln = ln(10 + x) + -1ln(x + 4)
2ln = (10 * ln + x * ln) + -1ln(x + 4)
2ln = (10ln + lnx) + -1ln(x + 4)

Reorder the terms:
2ln = 10ln + lnx + -1ln(4 + x)
2ln = 10ln + lnx + (4 * -1ln + x * -1ln)
2ln = 10ln + lnx + (-4ln + -1lnx)

Reorder the terms:
2ln = 10ln + -4ln + lnx + -1lnx

Combine like terms: 10ln + -4ln = 6ln
2ln = 6ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
2ln = 6ln + 0
2ln = 6ln

Solving
2ln = 6ln

Solving for variable 'l'.

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

Add '-6ln' to each side of the equation.
2ln + -6ln = 6ln + -6ln

Combine like terms: 2ln + -6ln = -4ln
-4ln = 6ln + -6ln

Combine like terms: 6ln + -6ln = 0
-4ln = 0

Divide each side by '-4'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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