ln(x-6)-ln(x+4)=1

Solution for ln(x-6)-ln(x+4)=1 equation:

Simplifying
ln(x + -6) + -1ln(x + 4) = 1

Reorder the terms:
ln(-6 + x) + -1ln(x + 4) = 1
(-6 * ln + x * ln) + -1ln(x + 4) = 1
(-6ln + lnx) + -1ln(x + 4) = 1

Reorder the terms:
-6ln + lnx + -1ln(4 + x) = 1
-6ln + lnx + (4 * -1ln + x * -1ln) = 1
-6ln + lnx + (-4ln + -1lnx) = 1

Reorder the terms:
-6ln + -4ln + lnx + -1lnx = 1

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

Combine like terms: lnx + -1lnx = 0
-10ln + 0 = 1
-10ln = 1

Solving
-10ln = 1

Solving for variable 'l'.

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

Divide each side by '-10n'.
l = -0.1n-1

Simplifying
l = -0.1n-1