ln(x)-ln(x-9)=ln(8)

Solution for ln(x)-ln(x-9)=ln(8) equation:

Simplifying
ln(x) + -1ln(x + -9) = ln(8)

Multiply ln * x
lnx + -1ln(x + -9) = ln(8)

Reorder the terms:
lnx + -1ln(-9 + x) = ln(8)
lnx + (-9 * -1ln + x * -1ln) = ln(8)
lnx + (9ln + -1lnx) = ln(8)

Reorder the terms:
9ln + lnx + -1lnx = ln(8)

Combine like terms: lnx + -1lnx = 0
9ln + 0 = ln(8)
9ln = ln(8)

Reorder the terms for easier multiplication:
9ln = 8ln

Solving
9ln = 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.
9ln + -8ln = 8ln + -8ln

Combine like terms: 9ln + -8ln = 1ln
1ln = 8ln + -8ln

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

Divide each side by '1'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.