ln(x-12)=ln(4)

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Solution for ln(x-12)=ln(4) equation: 


Simplifying
ln(x + -12) = ln(4)

Reorder the terms:
ln(-12 + x) = ln(4)
(-12 * ln + x * ln) = ln(4)
(-12ln + lnx) = ln(4)

Reorder the terms for easier multiplication:
-12ln + lnx = 4ln

Solving
-12ln + lnx = 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.
-12ln + -4ln + lnx = 4ln + -4ln

Combine like terms: -12ln + -4ln = -16ln
-16ln + lnx = 4ln + -4ln

Combine like terms: 4ln + -4ln = 0
-16ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-16 + 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 '(-16 + x)' equal to zero and attempt to solve:

Simplifying
-16 + x = 0

Solving
-16 + x = 0

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

Add '16' to each side of the equation.
-16 + 16 + x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + x = 0 + 16
x = 0 + 16

Combine like terms: 0 + 16 = 16
x = 16

Add '-1x' to each side of the equation.
x + -1x = 16 + -1x

Combine like terms: x + -1x = 0
0 = 16 + -1x

Simplifying
0 = 16 + -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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