ln(x+2)-ln(x+1)=ln(x+7)-ln(x-1)

Solution for ln(x+2)-ln(x+1)=ln(x+7)-ln(x-1) equation:

Simplifying
ln(x + 2) + -1ln(x + 1) = ln(x + 7) + -1ln(x + -1)

Reorder the terms:
ln(2 + x) + -1ln(x + 1) = ln(x + 7) + -1ln(x + -1)
(2 * ln + x * ln) + -1ln(x + 1) = ln(x + 7) + -1ln(x + -1)
(2ln + lnx) + -1ln(x + 1) = ln(x + 7) + -1ln(x + -1)

Reorder the terms:
2ln + lnx + -1ln(1 + x) = ln(x + 7) + -1ln(x + -1)
2ln + lnx + (1 * -1ln + x * -1ln) = ln(x + 7) + -1ln(x + -1)
2ln + lnx + (-1ln + -1lnx) = ln(x + 7) + -1ln(x + -1)

Reorder the terms:
2ln + -1ln + lnx + -1lnx = ln(x + 7) + -1ln(x + -1)

Combine like terms: 2ln + -1ln = 1ln
1ln + lnx + -1lnx = ln(x + 7) + -1ln(x + -1)

Combine like terms: lnx + -1lnx = 0
1ln + 0 = ln(x + 7) + -1ln(x + -1)
1ln = ln(x + 7) + -1ln(x + -1)

Reorder the terms:
1ln = ln(7 + x) + -1ln(x + -1)
1ln = (7 * ln + x * ln) + -1ln(x + -1)
1ln = (7ln + lnx) + -1ln(x + -1)

Reorder the terms:
1ln = 7ln + lnx + -1ln(-1 + x)
1ln = 7ln + lnx + (-1 * -1ln + x * -1ln)
1ln = 7ln + lnx + (1ln + -1lnx)

Reorder the terms:
1ln = 7ln + 1ln + lnx + -1lnx

Combine like terms: 7ln + 1ln = 8ln
1ln = 8ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
1ln = 8ln + 0
1ln = 8ln

Solving
1ln = 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.
1ln + -8ln = 8ln + -8ln

Combine like terms: 1ln + -8ln = -7ln
-7ln = 8ln + -8ln

Combine like terms: 8ln + -8ln = 0
-7ln = 0

Divide each side by '-7'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.