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

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

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

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

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

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

Combine like terms: -4ln + -1ln = -5ln
-5ln + lnx + -1lnx = ln(6)

Combine like terms: lnx + -1lnx = 0
-5ln + 0 = ln(6)
-5ln = ln(6)

Reorder the terms for easier multiplication:
-5ln = 6ln

Solving
-5ln = 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.
-5ln + -6ln = 6ln + -6ln

Combine like terms: -5ln + -6ln = -11ln
-11ln = 6ln + -6ln

Combine like terms: 6ln + -6ln = 0
-11ln = 0

Divide each side by '-11'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.