2-ln(x)=ln(x+4)

Solution for 2-ln(x)=ln(x+4) equation:

Simplifying
2 + -1ln(x) = ln(x + 4)

Multiply ln * x
2 + -1lnx = ln(x + 4)

Reorder the terms:
2 + -1lnx = ln(4 + x)
2 + -1lnx = (4 * ln + x * ln)
2 + -1lnx = (4ln + lnx)

Solving
2 + -1lnx = 4ln + lnx

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.
2 + -4ln + -1lnx = 4ln + -4ln + lnx

Combine like terms: 4ln + -4ln = 0
2 + -4ln + -1lnx = 0 + lnx
2 + -4ln + -1lnx = lnx

Add '-1lnx' to each side of the equation.
2 + -4ln + -1lnx + -1lnx = lnx + -1lnx

Combine like terms: -1lnx + -1lnx = -2lnx
2 + -4ln + -2lnx = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
2 + -4ln + -2lnx = 0

Add '-2' to each side of the equation.
2 + -4ln + -2 + -2lnx = 0 + -2

Reorder the terms:
2 + -2 + -4ln + -2lnx = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -4ln + -2lnx = 0 + -2
-4ln + -2lnx = 0 + -2

Combine like terms: 0 + -2 = -2
-4ln + -2lnx = -2

Reorder the terms:
2 + -4ln + -2lnx = -2 + 2

Combine like terms: -2 + 2 = 0
2 + -4ln + -2lnx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -2ln + -1lnx) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(1 + -2ln + -1lnx)' equal to zero and attempt to solve:

Simplifying
1 + -2ln + -1lnx = 0

Solving
1 + -2ln + -1lnx = 0

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

Add '-1' to each side of the equation.
1 + -2ln + -1 + -1lnx = 0 + -1

Reorder the terms:
1 + -1 + -2ln + -1lnx = 0 + -1

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

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

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.