ln(8-3x)-ln(8-12)=0

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Solution for ln(8-3x)-ln(8-12)=0 equation: 


Simplifying
ln(8 + -3x) + -1ln(8 + -12) = 0
(8 * ln + -3x * ln) + -1ln(8 + -12) = 0
(8ln + -3lnx) + -1ln(8 + -12) = 0

Combine like terms: 8 + -12 = -4
8ln + -3lnx + -1ln(-4) = 0

Reorder the terms for easier multiplication:
8ln + -3lnx + -1 * -4ln = 0

Multiply -1 * -4
8ln + -3lnx + 4ln = 0

Reorder the terms:
8ln + 4ln + -3lnx = 0

Combine like terms: 8ln + 4ln = 12ln
12ln + -3lnx = 0

Solving
12ln + -3lnx = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), '3ln'.
3ln(4 + -1x) = 0

Ignore the factor 3.

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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