ln(x)=ln(x+6)-ln(2)

Solution for ln(x)=ln(x+6)-ln(2) equation:

Simplifying
ln(x) = ln(x + 6) + -1ln(2)

Multiply ln * x
lnx = ln(x + 6) + -1ln(2)

Reorder the terms:
lnx = ln(6 + x) + -1ln(2)
lnx = (6 * ln + x * ln) + -1ln(2)
lnx = (6ln + lnx) + -1ln(2)

Reorder the terms for easier multiplication:
lnx = 6ln + lnx + -1 * 2ln

Multiply -1 * 2
lnx = 6ln + lnx + -2ln

Reorder the terms:
lnx = 6ln + -2ln + lnx

Combine like terms: 6ln + -2ln = 4ln
lnx = 4ln + lnx

Add '-1lnx' to each side of the equation.
lnx + -1lnx = 4ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
0 = 4ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
0 = 4ln + 0
0 = 4ln

Solving
0 = 4ln

Solving for variable 'l'.

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

Add '-4ln' to each side of the equation.
0 + -4ln = 4ln + -4ln
Remove the zero:
-4ln = 4ln + -4ln

Combine like terms: 4ln + -4ln = 0
-4ln = 0

Divide each side by '-4'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.