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

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

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

Multiply ln * x
lnx + -1ln(x + 1) = ln(6)

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

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

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

Reorder the terms for easier multiplication:
-1ln = 6ln

Solving
-1ln = 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.
-1ln + -6ln = 6ln + -6ln

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

Combine like terms: 6ln + -6ln = 0
-7ln = 0

Divide each side by '-7'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.