ln(x-6)+4=ln(x+3)

Solution for ln(x-6)+4=ln(x+3) equation:

Simplifying
ln(x + -6) + 4 = ln(x + 3)

Reorder the terms:
ln(-6 + x) + 4 = ln(x + 3)
(-6 * ln + x * ln) + 4 = ln(x + 3)
(-6ln + lnx) + 4 = ln(x + 3)

Reorder the terms:
4 + -6ln + lnx = ln(x + 3)

Reorder the terms:
4 + -6ln + lnx = ln(3 + x)
4 + -6ln + lnx = (3 * ln + x * ln)
4 + -6ln + lnx = (3ln + lnx)

Add '-1lnx' to each side of the equation.
4 + -6ln + lnx + -1lnx = 3ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
4 + -6ln + 0 = 3ln + lnx + -1lnx
4 + -6ln = 3ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
4 + -6ln = 3ln + 0
4 + -6ln = 3ln

Solving
4 + -6ln = 3ln

Solving for variable 'l'.

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

Add '-3ln' to each side of the equation.
4 + -6ln + -3ln = 3ln + -3ln

Combine like terms: -6ln + -3ln = -9ln
4 + -9ln = 3ln + -3ln

Combine like terms: 3ln + -3ln = 0
4 + -9ln = 0

Add '-4' to each side of the equation.
4 + -4 + -9ln = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -9ln = 0 + -4
-9ln = 0 + -4

Combine like terms: 0 + -4 = -4
-9ln = -4

Divide each side by '-9n'.
l = 0.4444444444n-1

Simplifying
l = 0.4444444444n-1