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

Solution for ln(x)-ln(x+1)=ln(x+3)-ln(x+5) equation:

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

Multiply ln * x
lnx + -1ln(x + 1) = ln(x + 3) + -1ln(x + 5)

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

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

Combine like terms: lnx + -1lnx = 0
-1ln + 0 = ln(x + 3) + -1ln(x + 5)
-1ln = ln(x + 3) + -1ln(x + 5)

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

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

Reorder the terms:
-1ln = 3ln + -5ln + lnx + -1lnx

Combine like terms: 3ln + -5ln = -2ln
-1ln = -2ln + lnx + -1lnx

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

Solving
-1ln = -2ln

Solving for variable 'l'.

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

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

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

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

Divide each side by '1'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.