ln(8-3x)-ln(8-12)=9

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Solution for ln(8-3x)-ln(8-12)=9 equation:


Simplifying
ln(8 + -3x) + -1ln(8 + -12) = 9
(8 * ln + -3x * ln) + -1ln(8 + -12) = 9
(8ln + -3lnx) + -1ln(8 + -12) = 9

Combine like terms: 8 + -12 = -4
8ln + -3lnx + -1ln(-4) = 9

Reorder the terms for easier multiplication:
8ln + -3lnx + -1 * -4ln = 9

Multiply -1 * -4
8ln + -3lnx + 4ln = 9

Reorder the terms:
8ln + 4ln + -3lnx = 9

Combine like terms: 8ln + 4ln = 12ln
12ln + -3lnx = 9

Solving
12ln + -3lnx = 9

Solving for variable 'l'.

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

Reorder the terms:
-9 + 12ln + -3lnx = 9 + -9

Combine like terms: 9 + -9 = 0
-9 + 12ln + -3lnx = 0

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

Ignore the factor 3.

Subproblem 1

Set the factor '(-3 + 4ln + -1lnx)' equal to zero and attempt to solve: Simplifying -3 + 4ln + -1lnx = 0 Solving -3 + 4ln + -1lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 4ln + 3 + -1lnx = 0 + 3 Reorder the terms: -3 + 3 + 4ln + -1lnx = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4ln + -1lnx = 0 + 3 4ln + -1lnx = 0 + 3 Combine like terms: 0 + 3 = 3 4ln + -1lnx = 3 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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