ln(x+2)-ln(x-7)=ln(4)

Solution for ln(x+2)-ln(x-7)=ln(4) equation:

Simplifying
ln(x + 2) + -1ln(x + -7) = ln(4)

Reorder the terms:
ln(2 + x) + -1ln(x + -7) = ln(4)
(2 * ln + x * ln) + -1ln(x + -7) = ln(4)
(2ln + lnx) + -1ln(x + -7) = ln(4)

Reorder the terms:
2ln + lnx + -1ln(-7 + x) = ln(4)
2ln + lnx + (-7 * -1ln + x * -1ln) = ln(4)
2ln + lnx + (7ln + -1lnx) = ln(4)

Reorder the terms:
2ln + 7ln + lnx + -1lnx = ln(4)

Combine like terms: 2ln + 7ln = 9ln
9ln + lnx + -1lnx = ln(4)

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

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

Solving
9ln = 4ln

Solving for variable 'l'.

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

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

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

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

Divide each side by '5'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.