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

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

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

Multiply ln * x
lnx + -1ln(x + -7) = ln(2)

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

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

Combine like terms: lnx + -1lnx = 0
7ln + 0 = ln(2)
7ln = ln(2)

Reorder the terms for easier multiplication:
7ln = 2ln

Solving
7ln = 2ln

Solving for variable 'l'.

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

Add '-2ln' to each side of the equation.
7ln + -2ln = 2ln + -2ln

Combine like terms: 7ln + -2ln = 5ln
5ln = 2ln + -2ln

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

Divide each side by '5'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.