ln(x-4)+ln(x+1)=ln(2x+8)

Solution for ln(x-4)+ln(x+1)=ln(2x+8) equation:

Simplifying
ln(x + -4) + ln(x + 1) = ln(2x + 8)

Reorder the terms:
ln(-4 + x) + ln(x + 1) = ln(2x + 8)
(-4 * ln + x * ln) + ln(x + 1) = ln(2x + 8)
(-4ln + lnx) + ln(x + 1) = ln(2x + 8)

Reorder the terms:
-4ln + lnx + ln(1 + x) = ln(2x + 8)
-4ln + lnx + (1 * ln + x * ln) = ln(2x + 8)
-4ln + lnx + (1ln + lnx) = ln(2x + 8)

Reorder the terms:
-4ln + 1ln + lnx + lnx = ln(2x + 8)

Combine like terms: -4ln + 1ln = -3ln
-3ln + lnx + lnx = ln(2x + 8)

Combine like terms: lnx + lnx = 2lnx
-3ln + 2lnx = ln(2x + 8)

Reorder the terms:
-3ln + 2lnx = ln(8 + 2x)
-3ln + 2lnx = (8 * ln + 2x * ln)
-3ln + 2lnx = (8ln + 2lnx)

Add '-2lnx' to each side of the equation.
-3ln + 2lnx + -2lnx = 8ln + 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
-3ln + 0 = 8ln + 2lnx + -2lnx
-3ln = 8ln + 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
-3ln = 8ln + 0
-3ln = 8ln

Solving
-3ln = 8ln

Solving for variable 'l'.

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

Add '-8ln' to each side of the equation.
-3ln + -8ln = 8ln + -8ln

Combine like terms: -3ln + -8ln = -11ln
-11ln = 8ln + -8ln

Combine like terms: 8ln + -8ln = 0
-11ln = 0

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

Simplifying
ln = 0

The solution to this equation could not be determined.