ln(x)=ln(x-8)+ln(2)

Solution for ln(x)=ln(x-8)+ln(2) equation:

Simplifying
ln(x) = ln(x + -8) + ln(2)

Multiply ln * x
lnx = ln(x + -8) + ln(2)

Reorder the terms:
lnx = ln(-8 + x) + ln(2)
lnx = (-8 * ln + x * ln) + ln(2)
lnx = (-8ln + lnx) + ln(2)

Reorder the terms for easier multiplication:
lnx = -8ln + lnx + 2ln

Reorder the terms:
lnx = -8ln + 2ln + lnx

Combine like terms: -8ln + 2ln = -6ln
lnx = -6ln + lnx

Add '-1lnx' to each side of the equation.
lnx + -1lnx = -6ln + lnx + -1lnx

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

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

Solving
0 = -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.
0 + 6ln = -6ln + 6ln
Remove the zero:
6ln = -6ln + 6ln

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

Divide each side by '6'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.