ln(x)-ln(x-9)=ln(5)

Solution for ln(x)-ln(x-9)=ln(5) equation:

Simplifying
ln(x) + -1ln(x + -9) = ln(5)

Multiply ln * x
lnx + -1ln(x + -9) = ln(5)

Reorder the terms:
lnx + -1ln(-9 + x) = ln(5)
lnx + (-9 * -1ln + x * -1ln) = ln(5)
lnx + (9ln + -1lnx) = ln(5)

Reorder the terms:
9ln + lnx + -1lnx = ln(5)

Combine like terms: lnx + -1lnx = 0
9ln + 0 = ln(5)
9ln = ln(5)

Reorder the terms for easier multiplication:
9ln = 5ln

Solving
9ln = 5ln

Solving for variable 'l'.

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

Add '-5ln' to each side of the equation.
9ln + -5ln = 5ln + -5ln

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

Combine like terms: 5ln + -5ln = 0
4ln = 0

Divide each side by '4'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.