Lnx=ln(x-4)

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Solution for Lnx=ln(x-4) equation: 


Simplifying
Lnx = ln(x + -4)

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

Solving
nxL = -4ln + lnx

Solving for variable 'n'.

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), 'n'.
n(4l + -1lx + xL) = 0


Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0

Subproblem 2
Set the factor '(4l + -1lx + xL)' equal to zero and attempt to solve:

Simplifying
4l + -1lx + xL = 0

Solving
4l + -1lx + xL = 0

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

Add '-4l' to each side of the equation.
4l + -1lx + -4l + xL = 0 + -4l

Reorder the terms:
4l + -4l + -1lx + xL = 0 + -4l

Combine like terms: 4l + -4l = 0
0 + -1lx + xL = 0 + -4l
-1lx + xL = 0 + -4l
Remove the zero:
-1lx + xL = -4l

Add 'lx' to each side of the equation.
-1lx + lx + xL = -4l + lx

Combine like terms: -1lx + lx = 0
0 + xL = -4l + lx
xL = -4l + lx

Add '-1xL' to each side of the equation.
xL + -1xL = -4l + lx + -1xL

Combine like terms: xL + -1xL = 0
0 = -4l + lx + -1xL

Simplifying
0 = -4l + lx + -1xL

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}

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