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

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

Simplifying
ln(x) = ln(x + 8) + -1ln(2)

Multiply ln * x
lnx = ln(x + 8) + -1ln(2)

Reorder the terms:
lnx = ln(8 + x) + -1ln(2)
lnx = (8 * ln + x * ln) + -1ln(2)
lnx = (8ln + lnx) + -1ln(2)

Reorder the terms for easier multiplication:
lnx = 8ln + lnx + -1 * 2ln

Multiply -1 * 2
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.