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

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

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

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

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

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

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

Reorder the terms for easier multiplication:
-5ln = -1 * 3ln

Multiply -1 * 3
-5ln = -3ln

Solving
-5ln = -3ln

Solving for variable 'l'.

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

Add '3ln' to each side of the equation.
-5ln + 3ln = -3ln + 3ln

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

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

Divide each side by '-2'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.