0=ln(4-x)

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


Simplifying
0 = ln(4 + -1x)
0 = (4 * ln + -1x * ln)
0 = (4ln + -1lnx)

Solving
0 = 4ln + -1lnx

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 + -1lnx
Remove the zero:
-4ln = 4ln + -4ln + -1lnx

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

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

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-4 + x) = 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 + x)' equal to zero and attempt to solve:

Simplifying
-4 + x = 0

Solving
-4 + x = 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 + x = 0 + 4

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

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

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

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

Simplifying
0 = 4 + -1x

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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