ln(x+5)-ln(x-4)=ln(x+1)-ln(x+2)

Solution for ln(x+5)-ln(x-4)=ln(x+1)-ln(x+2) equation:

Simplifying
ln(x + 5) + -1ln(x + -4) = ln(x + 1) + -1ln(x + 2)

Reorder the terms:
ln(5 + x) + -1ln(x + -4) = ln(x + 1) + -1ln(x + 2)
(5 * ln + x * ln) + -1ln(x + -4) = ln(x + 1) + -1ln(x + 2)
(5ln + lnx) + -1ln(x + -4) = ln(x + 1) + -1ln(x + 2)

Reorder the terms:
5ln + lnx + -1ln(-4 + x) = ln(x + 1) + -1ln(x + 2)
5ln + lnx + (-4 * -1ln + x * -1ln) = ln(x + 1) + -1ln(x + 2)
5ln + lnx + (4ln + -1lnx) = ln(x + 1) + -1ln(x + 2)

Reorder the terms:
5ln + 4ln + lnx + -1lnx = ln(x + 1) + -1ln(x + 2)

Combine like terms: 5ln + 4ln = 9ln
9ln + lnx + -1lnx = ln(x + 1) + -1ln(x + 2)

Combine like terms: lnx + -1lnx = 0
9ln + 0 = ln(x + 1) + -1ln(x + 2)
9ln = ln(x + 1) + -1ln(x + 2)

Reorder the terms:
9ln = ln(1 + x) + -1ln(x + 2)
9ln = (1 * ln + x * ln) + -1ln(x + 2)
9ln = (1ln + lnx) + -1ln(x + 2)

Reorder the terms:
9ln = 1ln + lnx + -1ln(2 + x)
9ln = 1ln + lnx + (2 * -1ln + x * -1ln)
9ln = 1ln + lnx + (-2ln + -1lnx)

Reorder the terms:
9ln = 1ln + -2ln + lnx + -1lnx

Combine like terms: 1ln + -2ln = -1ln
9ln = -1ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
9ln = -1ln + 0
9ln = -1ln

Solving
9ln = -1ln

Solving for variable 'l'.

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

Add 'ln' to each side of the equation.
9ln + ln = -1ln + ln

Combine like terms: 9ln + ln = 10ln
10ln = -1ln + ln

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

Divide each side by '10'.
ln = 0.0

Simplifying
ln = 0.0

The solution to this equation could not be determined.