3-ln(x+5)=ln(x-6)

Solution for 3-ln(x+5)=ln(x-6) equation:

Simplifying
3 + -1ln(x + 5) = ln(x + -6)

Reorder the terms:
3 + -1ln(5 + x) = ln(x + -6)
3 + (5 * -1ln + x * -1ln) = ln(x + -6)
3 + (-5ln + -1lnx) = ln(x + -6)

Reorder the terms:
3 + -5ln + -1lnx = ln(-6 + x)
3 + -5ln + -1lnx = (-6 * ln + x * ln)
3 + -5ln + -1lnx = (-6ln + lnx)

Solving
3 + -5ln + -1lnx = -6ln + lnx

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.
3 + -5ln + 6ln + -1lnx = -6ln + 6ln + lnx

Combine like terms: -5ln + 6ln = 1ln
3 + 1ln + -1lnx = -6ln + 6ln + lnx

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

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

Combine like terms: -1lnx + -1lnx = -2lnx
3 + 1ln + -2lnx = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
3 + 1ln + -2lnx = 0

Add '-3' to each side of the equation.
3 + 1ln + -3 + -2lnx = 0 + -3

Reorder the terms:
3 + -3 + 1ln + -2lnx = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 1ln + -2lnx = 0 + -3
1ln + -2lnx = 0 + -3

Combine like terms: 0 + -3 = -3
1ln + -2lnx = -3

Reorder the terms:
3 + 1ln + -2lnx = -3 + 3

Combine like terms: -3 + 3 = 0
3 + 1ln + -2lnx = 0

The solution to this equation could not be determined.