(ln(x+1))-(ln(x-2))=(ln(5))

Solution for (ln(x+1))-(ln(x-2))=(ln(5)) equation:

Simplifying
(ln(x + 1)) + -1(ln(x + -2)) = (ln(5))

Reorder the terms:
(ln(1 + x)) + -1(ln(x + -2)) = (ln(5))
((1 * ln + x * ln)) + -1(ln(x + -2)) = (ln(5))
((1ln + lnx)) + -1(ln(x + -2)) = (ln(5))
(1ln + lnx) + -1(ln(x + -2)) = (ln(5))

Remove parenthesis around (1ln + lnx)
1ln + lnx + -1(ln(x + -2)) = (ln(5))

Reorder the terms:
1ln + lnx + -1(ln(-2 + x)) = (ln(5))
1ln + lnx + -1((-2 * ln + x * ln)) = (ln(5))
1ln + lnx + -1((-2ln + lnx)) = (ln(5))
1ln + lnx + (-2ln * -1 + lnx * -1) = (ln(5))
1ln + lnx + (2ln + -1lnx) = (ln(5))

Reorder the terms:
1ln + 2ln + lnx + -1lnx = (ln(5))

Combine like terms: 1ln + 2ln = 3ln
3ln + lnx + -1lnx = (ln(5))

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

Reorder the terms for easier multiplication:
3ln = (5ln)

Solving
3ln = (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.
3ln + (-5ln) = (5ln) + (-5ln)

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

Combine like terms: (5ln) + (-5ln) = 0
-2ln = 0

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

Simplifying
ln = 0

The solution to this equation could not be determined.