0=ln(x-4)

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Solution for 0=ln(x-4) equation: 


Simplifying
0 = ln(x + -4)

Reorder the terms:
0 = ln(-4 + x)
0 = (-4 * ln + x * ln)
0 = (-4ln + lnx)

Solving
0 = -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.
0 + 4ln = -4ln + 4ln + lnx
Remove the zero:
4ln = -4ln + 4ln + lnx

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

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

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(4 + -1x) = 0


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

Simplifying
ln = 0

Solving
ln = 0

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

Simplifying
ln = 0

The solution to this equation could not be determined.

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

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

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

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

Combine like terms: -1x + x = 0
0 = -4 + x

Simplifying
0 = -4 + x

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.

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