ln(x)-ln(x-4)=ln(9)

Solution for ln(x)-ln(x-4)=ln(9) equation:

Simplifying
ln(x) + -1ln(x + -4) = ln(9)

Multiply ln * x
lnx + -1ln(x + -4) = ln(9)

Reorder the terms:
lnx + -1ln(-4 + x) = ln(9)
lnx + (-4 * -1ln + x * -1ln) = ln(9)
lnx + (4ln + -1lnx) = ln(9)

Reorder the terms:
4ln + lnx + -1lnx = ln(9)

Combine like terms: lnx + -1lnx = 0
4ln + 0 = ln(9)
4ln = ln(9)

Reorder the terms for easier multiplication:
4ln = 9ln

Solving
4ln = 9ln

Solving for variable 'l'.

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

Add '-9ln' to each side of the equation.
4ln + -9ln = 9ln + -9ln

Combine like terms: 4ln + -9ln = -5ln
-5ln = 9ln + -9ln

Combine like terms: 9ln + -9ln = 0
-5ln = 0

Divide each side by '-5'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.