ln(x+8)-ln(x+1)=ln(6)

Solution for ln(x+8)-ln(x+1)=ln(6) equation:

Simplifying
ln(x + 8) + -1ln(x + 1) = ln(6)

Reorder the terms:
ln(8 + x) + -1ln(x + 1) = ln(6)
(8 * ln + x * ln) + -1ln(x + 1) = ln(6)
(8ln + lnx) + -1ln(x + 1) = ln(6)

Reorder the terms:
8ln + lnx + -1ln(1 + x) = ln(6)
8ln + lnx + (1 * -1ln + x * -1ln) = ln(6)
8ln + lnx + (-1ln + -1lnx) = ln(6)

Reorder the terms:
8ln + -1ln + lnx + -1lnx = ln(6)

Combine like terms: 8ln + -1ln = 7ln
7ln + lnx + -1lnx = ln(6)

Combine like terms: lnx + -1lnx = 0
7ln + 0 = ln(6)
7ln = ln(6)

Reorder the terms for easier multiplication:
7ln = 6ln

Solving
7ln = 6ln

Solving for variable 'l'.

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

Add '-6ln' to each side of the equation.
7ln + -6ln = 6ln + -6ln

Combine like terms: 7ln + -6ln = 1ln
1ln = 6ln + -6ln

Combine like terms: 6ln + -6ln = 0
1ln = 0

Divide each side by '1'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.