ln(x+6)=ln(x-4)

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Solution for ln(x+6)=ln(x-4) equation:


Simplifying
ln(x + 6) = ln(x + -4)

Reorder the terms:
ln(6 + x) = ln(x + -4)
(6 * ln + x * ln) = ln(x + -4)
(6ln + lnx) = ln(x + -4)

Reorder the terms:
6ln + lnx = ln(-4 + x)
6ln + lnx = (-4 * ln + x * ln)
6ln + lnx = (-4ln + lnx)

Add '-1lnx' to each side of the equation.
6ln + lnx + -1lnx = -4ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
6ln + 0 = -4ln + lnx + -1lnx
6ln = -4ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
6ln = -4ln + 0
6ln = -4ln

Solving
6ln = -4ln

Solving for variable 'l'.

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

Add '4ln' to each side of the equation.
6ln + 4ln = -4ln + 4ln

Combine like terms: 6ln + 4ln = 10ln
10ln = -4ln + 4ln

Combine like terms: -4ln + 4ln = 0
10ln = 0

Divide each side by '10'.
ln = 0.0

Simplifying
ln = 0.0

The solution to this equation could not be determined.

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